928428384960 has 448 divisors, whose sum is σ = 3597586099200. Its totient is φ = 224351576064.

The previous prime is 928428384959. The next prime is 928428384977. The reversal of 928428384960 is 69483824829.

928428384960 is a `hidden beast` number, since 9 + 28 + 42 + 83 + 8 + 496 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3652732 + ... + 3898628.

Almost surely, 2^928428384960 is an apocalyptic number.

928428384960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928428384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798793049600).

928428384960 is an abundant number, since it is smaller than the sum of its proper divisors (2669157714240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

928428384960 is a wasteful number, since it uses less digits than its factorization.

928428384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245965 (or 245949 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 928428384960 in words is "nine hundred twenty-eight billion, four hundred twenty-eight million, three hundred eighty-four thousand, nine hundred sixty".