  The IceCube detector has recently reported the observation of 28 events at
previously unexplored energies. While the statistics of the observed events are
still low, these events hint at the existence of a neutrino flux over and above
the atmospheric neutrino background. We investigate the possibility that a
significant component of the additional neutrino flux originates due to the
decay of a very heavy dark matter (VHDM) particle via several possible channels
into standard model particles. We show that a combination of a power law
astrophysical neutrino spectrum and the neutrino flux from the decay of a DM
species of mass in the range $150-400$ TeV improves the fit to the observed
neutrino events than that obtained from a best-fit astrophysical flux alone.
Assuming the existence of an astrophysical background described by the IC
best-fit, we also show that, for the decay of even heavier DM particles
($m_{\text{DM}} \sim 1$ PeV), the same observations impose significant
constraints on the decay lifetimes. Allowing the astrophysical flux
normalization to vary leads to modifications of these limits, however, there is
still a range of dark matter mass and lifetime that is excluded by the IC
results.
