968992928 has 48 divisors (see below), whose sum is σ = 2023142184. Its totient is φ = 455270400.

The previous prime is 968992909. The next prime is 968992939. The reversal of 968992928 is 829299869.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 501222544 + 467770384 = 22388^2 + 21628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508778 + ... + 510678.

Almost surely, 2^968992928 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 968992928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011571092).

968992928 is an abundant number, since it is smaller than the sum of its proper divisors (1054149256).

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

968992928 is a wasteful number, since it uses less digits than its factorization.

968992928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2857 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 62.

The square root of 968992928 is about 31128.6512396538. The cubic root of 968992928 is about 989.5556036963. Note that the first 3 decimals are identical.

The spelling of 968992928 in words is "nine hundred sixty-eight million, nine hundred ninety-two thousand, nine hundred twenty-eight".