956928 has 80 divisors (see below), whose sum is σ = 2946240. Its totient is φ = 270336.

The previous prime is 956909. The next prime is 956929. The reversal of 956928 is 829659.

It is a happy number.

It is a super-2 number, since 2×956928² = 1831422394368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (956929) by changing a digit.

956928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10708 + ... + 10796.

It is an arithmetic number, because the mean of its divisors is an integer number (36828).

2⁹⁵⁶⁹²⁸ 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 956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473120).

956928 is an abundant number, since it is smaller than the sum of its proper divisors (1989312).

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

956928 is an equidigital number, since it uses as much as digits as its factorization.

956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 956928 is about 978.2269675285. The cubic root of 956928 is about 98.5431454847.

The spelling of 956928 in words is "nine hundred fifty-six thousand, nine hundred twenty-eight".