968880528 has 600 divisors, whose sum is σ = 3797212320. Its totient is φ = 235146240.

The previous prime is 968880499. The next prime is 968880551. The reversal of 968880528 is 825088869.

It is a super-4 number, since 4×968880528⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13272300 + ... + 13272372.

Almost surely, 2^968880528 is an apocalyptic number.

968880528 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 968880528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898606160).

968880528 is an abundant number, since it is smaller than the sum of its proper divisors (2828331792).

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

968880528 is a wasteful number, since it uses less digits than its factorization.

968880528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 968880528 is about 31126.8457765961. The cubic root of 968880528 is about 989.5173404825.

The spelling of 968880528 in words is "nine hundred sixty-eight million, eight hundred eighty thousand, five hundred twenty-eight".