  The nuclear spin state of a phosphorus donor ($^{31}$P) in isotopically
enriched silicon-28 is an excellent host to store quantum information in the
solid state. The spin's insensitivity to electric fields yields a solid-state
qubit with record coherence times, but also renders coupling to other quantum
systems very challenging. Here, we describe how to generate a strong electric
dipole ($>100$ Debye) at microwave frequencies for the nuclear spin. This is
achieved by applying a magnetic drive to the spin of the donor-bound electron,
while simultaneously controlling its charge state with electric fields. Under
certain conditions, the microwave magnetic drive also renders the nuclear spin
resonance frequency and electric dipole strongly insensitive to electrical
noise, yielding long ($>1$ ms) dephasing times and robust gate operations. The
nuclear spin could then be strongly coupled to microwave resonators, with a
vacuum Rabi splitting of order 1 MHz, or to other nuclear spins, nearly half a
micrometer apart, via strong electric dipole-dipole interaction. This work
brings the $^{31}$P nuclear qubit into the realm of hybrid quantum systems and
opens up new avenues in quantum information processing.
