928992000 has 144 divisors (see below), whose sum is σ = 3085965792. Its totient is φ = 247705600.

The previous prime is 928991971. The next prime is 928992017. The reversal of 928992000 is 299829.

928992000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×928992000² = 1726052272128000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 928992000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91162 + ... + 100838.

It is an arithmetic number, because the mean of its divisors is an integer number (21430318).

Almost surely, 2^928992000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542982896).

928992000 is an abundant number, since it is smaller than the sum of its proper divisors (2156973792).

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

928992000 is an equidigital number, since it uses as much as digits as its factorization.

928992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9711 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 928992000 is about 30479.3700722308. The cubic root of 928992000 is about 975.7472246941.

The spelling of 928992000 in words is "nine hundred twenty-eight million, nine hundred ninety-two thousand".