928972800 has 510 divisors, whose sum is σ = 3933178568. Its totient is φ = 212336640.

The previous prime is 928972741. The next prime is 928972853. The reversal of 928972800 is 8279829.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (2!)⁸.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 132710397 + ... + 132710403.

Almost surely, 2^928972800 is an apocalyptic number.

928972800 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 928972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966589284).

928972800 is an abundant number, since it is smaller than the sum of its proper divisors (3004205768).

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

928972800 is an frugal number, since it uses more digits than its factorization.

928972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 928972800 is about 30479.0551034641. The cubic root of 928972800 is about 975.7405025423.

Multiplying 928972800 by its product of nonzero digits (145152), we get a square (134842259865600 = 11612160²).

928972800 divided by its product of nonzero digits (145152) gives a square (6400 = 80²).

The spelling of 928972800 in words is "nine hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred".