Photoshop gives you a lot of tools to tweak beyond simple contrast and saturation sliders. The curves UI has been in it in some form since very early versions in the 90s. It lets you dial in a transfer function for each color channel (or luminance) as a bezier curve. The UI shows you a histogram so you can easily understand what's going on with the actual numerical values, avoid clipping, etc. There's plenty of smart tools in the more recent versions too.

Another simple but subtle advantage is you can do these corrections in a perceptual or near perceptual color space like CIELAB, rather than simple RGB. Particularly when you're pushing saturation this gives more natural looking outcomes.