968804928 has 448 divisors, whose sum is σ = 3598103040. Its totient is φ = 248832000.

The previous prime is 968804923. The next prime is 968804951. The reversal of 968804928 is 829408869.

968804928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (968804923) 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, 9592078 + ... + 9592178.

It is an arithmetic number, because the mean of its divisors is an integer number (8031480).

Almost surely, 2^968804928 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 968804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799051520).

968804928 is an abundant number, since it is smaller than the sum of its proper divisors (2629298112).

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

968804928 is a wasteful number, since it uses less digits than its factorization.

968804928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 968804928 is about 31125.6313670904. The cubic root of 968804928 is about 989.4916030620.

The spelling of 968804928 in words is "nine hundred sixty-eight million, eight hundred four thousand, nine hundred twenty-eight".