Don't go too heavy! Over-processing can make your audio sound robotic and underwater. Aim for "natural," not "silent."
Acon Digital DeNoise / Restoration Suite noise reduction plugin premiere pro work
If using Neat Video, do not just slap it on. Go to the Settings > Auto Profile > click on an area of the frame that should be a solid color (a wall, a suit jacket, a blue sky). If you profile an area with detail (like hair or leaves), the plugin will think the detail is noise and erase it. Don't go too heavy