Inflatable cover apparatus is disclosed in which a double-layer shroud is configured for encompassing a vehicle or other relatively large object. An inflatable chamber is defined by an inner layer and an outer layer of the shroud connected at their peripheries. A drawstring assembly encircles the periphery of the shroud and may be secured in a constricted state or released to an extended state. A blower adapted to inflate the inflatable chamber is capable of maintaining the shroud in an active inflated state in order to shield the covered object from being impacted by falling objects such as hail. A control module controls the blower and provides a communication circuit for enhancing control.