728064900 has 54 divisors (see below), whose sum is σ = 2282081802. Its totient is φ = 194150400.

The previous prime is 728064893. The next prime is 728064913. The reversal of 728064900 is 9460827.

728064900 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4562496 + 723502404 = 2136^2 + 26898^2 .

It is a super-2 number, since 2×728064900² = 1060156997224020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 403581 + ... + 405380.

Almost surely, 2^728064900 is an apocalyptic number.

It is an amenable number.

728064900 is an abundant number, since it is smaller than the sum of its proper divisors (1554016902).

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

728064900 is a wasteful number, since it uses less digits than its factorization.

728064900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808981 (or 808971 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 728064900 is about 26982.6777766774. The cubic root of 728064900 is about 899.6150205318.

The spelling of 728064900 in words is "seven hundred twenty-eight million, sixty-four thousand, nine hundred".