928800 has 144 divisors (see below), whose sum is σ = 3437280. Its totient is φ = 241920.

The previous prime is 928799. The next prime is 928813. The reversal of 928800 is 8829.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21579 + ... + 21621.

It is an arithmetic number, because the mean of its divisors is an integer number (23870).

2⁹²⁸⁸⁰⁰ is an apocalyptic number.

928800 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 928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718640).

928800 is an abundant number, since it is smaller than the sum of its proper divisors (2508480).

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

928800 is a wasteful number, since it uses less digits than its factorization.

928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 928800 is about 963.7427042525. The cubic root of 928800 is about 97.5679999008.

It can be divided in two parts, 928 and 800, that added together give a cube (1728 = 12³).

The spelling of 928800 in words is "nine hundred twenty-eight thousand, eight hundred".