Christina Marinacci added 12 points and 11 rebounds for the Trojans (2-1), and Jordan Adams had 11 points. USC outrebounded the Red Wolves 42-26.
Arkansas State (0-5) got 11 points from Ashley Olvera and 10 from Jane Morrill.
A 12-2 run put the Trojans ahead 16-6 early in the game. Harberts hit two free throws with 3:02 left in the half that capped a 15-3 run and gave USC a 36-13 lead.