728871624 has 48 divisors (see below), whose sum is σ = 2125878300. Its totient is φ = 224267904.

The previous prime is 728871613. The next prime is 728871683. The reversal of 728871624 is 426178827.

728871624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 664711524 + 64160100 = 25782^2 + 8010^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 728871624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388419 + ... + 390290.

Almost surely, 2^728871624 is an apocalyptic number.

It is an amenable number.

728871624 is an abundant number, since it is smaller than the sum of its proper divisors (1397006676).

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

728871624 is a wasteful number, since it uses less digits than its factorization.

728871624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778734 (or 778727 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 728871624 is about 26997.6225619961. The cubic root of 728871624 is about 899.9471672690.

The spelling of 728871624 in words is "seven hundred twenty-eight million, eight hundred seventy-one thousand, six hundred twenty-four".