928252080 has 360 divisors, whose sum is σ = 3681608112. Its totient is φ = 208954368.

The previous prime is 928252079. The next prime is 928252093. The reversal of 928252080 is 80252829.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2928082 + ... + 2928398.

Almost surely, 2^928252080 is an apocalyptic number.

928252080 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 928252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840804056).

928252080 is an abundant number, since it is smaller than the sum of its proper divisors (2753356032).

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

928252080 is a wasteful number, since it uses less digits than its factorization.

928252080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 928252080 is about 30467.2296082200. The cubic root of 928252080 is about 975.4881027461.

The spelling of 928252080 in words is "nine hundred twenty-eight million, two hundred fifty-two thousand, eighty".