The term "digital" is poor terminology when applied to class D amplification.
There are two distinct types of class D amplifier. The analogue class D, which performs a comparator function upon an analogue input compared to a triangle wave, usually around 400kHz to switch the outputs, which are then low-pass filtered. This includes the LC Zap pulse modules like michaelab has, the flying mole, tripath chipsets and Zetex ZXCD among other modulator chipsets.
The digital class D, such as sony S-master, D2Audio, Apogee DDX, Texas Instruments and Zetex ZXCW take a digital input and convert this directly to PWM (pulse width modulation), which drives the output, again low-pass filtered. Switching frequencies range from 384kHz (D2, Apogee, TI), to 1/2MHz (ZXCW) to 2.8MHz (S-master).
The latter group are arguably Digital Amplifiers. The former group are more accurately described as switching amplifiers. Both groups fall under the remit of Class D (with trade names such as Class T used to try to differentiate products).