957928960 has 80 divisors (see below), whose sum is σ = 2305138176. Its totient is φ = 381779968.

The previous prime is 957928919. The next prime is 957928973. The reversal of 957928960 is 69829759.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 979992 + ... + 980968.

Almost surely, 2^957928960 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 957928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152569088).

957928960 is an abundant number, since it is smaller than the sum of its proper divisors (1347209216).

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

957928960 is an equidigital number, since it uses as much as digits as its factorization.

957928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The square root of 957928960 is about 30950.4274606991. The cubic root of 957928960 is about 985.7749267861.

The spelling of 957928960 in words is "nine hundred fifty-seven million, nine hundred twenty-eight thousand, nine hundred sixty".