728730900 has 54 divisors (see below), whose sum is σ = 2284169342. Its totient is φ = 194328000.

The previous prime is 728730887. The next prime is 728730913. The reversal of 728730900 is 9037827.

It is an interprime number because it is at equal distance from previous prime (728730887) and next prime (728730913).

It can be written as a sum of positive squares in 3 ways, for example, as 20958084 + 707772816 = 4578^2 + 26604^2 .

It is a super-2 number, since 2×728730900² = 1062097449229620000, which contains 22 as substring.

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

It is a congruent number.

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, 403951 + ... + 405750.

Almost surely, 2^728730900 is an apocalyptic number.

It is an amenable number.

728730900 is an abundant number, since it is smaller than the sum of its proper divisors (1555438442).

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

728730900 is a wasteful number, since it uses less digits than its factorization.

728730900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809721 (or 809711 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 728730900 is about 26995.0162067001. The cubic root of 728730900 is about 899.8892456303.

The spelling of 728730900 in words is "seven hundred twenty-eight million, seven hundred thirty thousand, nine hundred".