968100728 has 32 divisors (see below), whose sum is σ = 2164700160. Its totient is φ = 396860640.

The previous prime is 968100701. The next prime is 968100781. The reversal of 968100728 is 827001869.

968100728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 374528 + ... + 377103.

It is an arithmetic number, because the mean of its divisors is an integer number (67646880).

Almost surely, 2^968100728 is an apocalyptic number.

It is an amenable number.

968100728 is an abundant number, since it is smaller than the sum of its proper divisors (1196599432).

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

968100728 is a wasteful number, since it uses less digits than its factorization.

968100728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751667 (or 751663 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 968100728 is about 31114.3170903685. The cubic root of 968100728 is about 989.2517994084.

The spelling of 968100728 in words is "nine hundred sixty-eight million, one hundred thousand, seven hundred twenty-eight".