956591328 has 384 divisors, whose sum is σ = 3386880000. Its totient is φ = 233694720.

The previous prime is 956591327. The next prime is 956591341. The reversal of 956591328 is 823195659.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956591323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6881883 + ... + 6882021.

It is an arithmetic number, because the mean of its divisors is an integer number (8820000).

Almost surely, 2^956591328 is an apocalyptic number.

956591328 is a gapful number since it is divisible by the number (98) 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 956591328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440000).

956591328 is an abundant number, since it is smaller than the sum of its proper divisors (2430288672).

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

956591328 is a wasteful number, since it uses less digits than its factorization.

956591328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 956591328 is about 30928.8106463860. The cubic root of 956591328 is about 985.3158745405.

The spelling of 956591328 in words is "nine hundred fifty-six million, five hundred ninety-one thousand, three hundred twenty-eight".