Browning accounted for 481 yards of total offense and four touchdowns to lead the Warhawks (1-0) to their first win over a Southeastern Conference team since defeating Alabama in 2007.
The Razorbacks played the second half without quarterback Tyler Wilson, who suffered a head injury in the first half.
NO. 1 ALABAMA 35, WESTERN KENTUCKY 0
In Tuscaloosa, Ala., AJ McCarron passed for 219 yards and matched his career high with four touchdown passes to lead Alabama past Western Kentucky.
McCarron completed 14 of 19 passes and played all but the final series.
NO. 3 LOUISIANA STATE 41, WASHINGTON 3
In Baton Rouge, La., Alfred Blue rushed for 101 yards, including a 21-yard score, and Louisiana State University racked up 242 yards on the ground in a victory over Washington.
Tigers quarterback Zach Mettenberger was an efficient 12 of 18 for 195 yards.
NO. 24 FLORIDA 20, TEXAS A&M 17
In College Station, Texas, Mike Gillislee ran for 83 yards and two touchdowns and Florida shut down Texas A&M’s offense in the second half in a win in the Aggies’ first SEC game after moving from the Big 12.
MISSISSIPPI STATE 28, AUBURN 10
In Starkville, Miss., Tyler Russell threw for 222 yards and three touchdowns, Marcus Green caught two touchdown passes and Mississippi State easily beat Auburn.
NORTHWESTERN 23, VANDERBILT 13
In Evanston, Ill., Venric Mark ran for 123 yards and a late touchdown, Tyler Scott forced a key fumble and Northwestern beat Vanderbilt.
Northwestern didn’t score a touchdown in the first three quarters but managed 17 points in the fourth to come away with another dramatic win after beating Syracuse 42-41 in the opener.
MISSISSIPPI 28, TEXAS-EL PASO 10
In Oxford, Miss., Bo Wallace threw for three touchdowns and ran for another as Mississippi defeated Texas-El Paso, improving to 2-0 for only the second time in 10 seasons.
TENNESSEE 51, GEORGIA STATE 13
In Knoxville, Tenn., Justin Hunter tied a school single-game record by catching three of Tyler Bray’s four touchdown passes.