The 62nd 500 Mile International Sweepstakes was held at the Indianapolis Motor Speedway in Speedway, Indiana on Sunday, May 28, 1978. Danny Ongais dominated the early stages of the race but eventually dropped out with a blown engine. Al Unser Sr. dominated the second half, and held a large lead late in the race. However, Unser bent the front wing of his Lola during a pit stop on lap 180, causing his handling to go away over the final twenty laps. Second place Tom Sneva charged to catch Unser's crippled Lola but came up 8 seconds short at the finish line – the second-closest finish in Indy history to that point. Unser held off the challenge, and became a three-time winner of the 500. It was Al Unser's third Indy victory in the decade of the 1970s, and the fifth of nine overall victories by the Unser family.

Danny Ongais was an American racing driver.