Season the sweet potato. Preheat your oven to 425°F (200°C). Place the cubed sweet potato in a mixing bowl and add the oil, onion powder, garlic powder, paprika, salt, and pepper. Toss to coat.
Roast the sweet potato. Arrange the sweet potato in a dingle layer on a sheet pan, making sure there's space between the cubes. Roast for 30 to 35 minutes, stirring the potatoes halfway through.
Brown the beef. Meanwhile, heat a skillet over medium heat and add the ground beef. Use a spatula to break it up, then add the onion powder, garlic powder, paprika, salt, and pepper. Cook until browned.
Make the sauce. In a small mixing bowl, add the mayonnaise, ketchup, sweet pickle relish, white vinegar, and salt. Stir together.
Assemble the burger bowls. Add a portion of the sweet potato to a bowl. Top with ground beef, shredded cheese, shredded lettuce, diced tomatoes, diced pickles, and diced onion.