957328008 has 128 divisors (see below), whose sum is σ = 2960133120. Its totient is φ = 251239680.

The previous prime is 957327989. The next prime is 957328027. The reversal of 957328008 is 800823759.

It is an interprime number because it is at equal distance from previous prime (957327989) and next prime (957328027).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494803 + ... + 496733.

It is an arithmetic number, because the mean of its divisors is an integer number (23126040).

Almost surely, 2^957328008 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 957328008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480066560).

957328008 is an abundant number, since it is smaller than the sum of its proper divisors (2002805112).

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

957328008 is a wasteful number, since it uses less digits than its factorization.

957328008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 957328008 is about 30940.7176387362. The cubic root of 957328008 is about 985.5687433208.

It can be divided in two parts, 95732 and 8008, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 957328008 in words is "nine hundred fifty-seven million, three hundred twenty-eight thousand, eight".