The list of supported browsers is available here: https://developers.google.com/maps/documentation/javascript/browsersupport.
The summary is recent and popular/common browsers are supported.
Most features will work on Tablets, PCs (and Macs), as well as smart phones.
The features that do not work on smart phones are:
- filtering (besides the search box)
- data exporting (pdf, image, and excel)
- information below the map
- text based directions
- radius filter
- searching on mobile devices has to be explicitly enabled
The features that do not work on tablets are:
- data exporting (pdf, image, and excel)
- information below the map