928920960 has 448 divisors, whose sum is σ = 3652281360. Its totient is φ = 223948800.

The previous prime is 928920943. The next prime is 928920973. The reversal of 928920960 is 69029829.

928920960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5132070 + ... + 5132250.

Almost surely, 2^928920960 is an apocalyptic number.

928920960 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 928920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826140680).

928920960 is an abundant number, since it is smaller than the sum of its proper divisors (2723360400).

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

928920960 is a wasteful number, since it uses less digits than its factorization.

928920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 928920960 is about 30478.2046715354. The cubic root of 928920960 is about 975.7223522697.

The spelling of 928920960 in words is "nine hundred twenty-eight million, nine hundred twenty thousand, nine hundred sixty".