30728507488900 has 81 divisors (see below), whose sum is σ = 72206412935853. Its totient is φ = 11345644377600.

The previous prime is 30728507488897. The next prime is 30728507488909. The reversal of 30728507488900 is 988470582703.

The square root of 30728507488900 is 5543330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 26115840653956 + 4612666834944 = 5110366^2 + 2147712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30728507488909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 720611580 + ... + 720654220.

Almost surely, 2^{30728507488900} is an apocalyptic number.

30728507488900 is the 5543330-th square number.

It is an amenable number.

30728507488900 is an abundant number, since it is smaller than the sum of its proper divisors (41477905446953).

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

30728507488900 is an frugal number, since it uses more digits than its factorization.

30728507488900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85322 (or 42661 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 30728507488900 in words is "thirty trillion, seven hundred twenty-eight billion, five hundred seven million, four hundred eighty-eight thousand, nine hundred".