30828336400 has 45 divisors (see below), whose sum is σ = 74073515781. Its totient is φ = 12329929920.

The previous prime is 30828336283. The next prime is 30828336457. The reversal of 30828336400 is 463382803.

The square root of 30828336400 is 175580.

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

It can be written as a sum of positive squares in only one way, i.e., 11098201104 + 19730135296 = 105348^2 + 140464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30828336400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3507211 + ... + 3515989.

Almost surely, 2^30828336400 is an apocalyptic number.

30828336400 is the 175580-th square number.

It is an amenable number.

30828336400 is an abundant number, since it is smaller than the sum of its proper divisors (43245179381).

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

30828336400 is an frugal number, since it uses more digits than its factorization.

30828336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17576 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 30828336400 in words is "thirty billion, eight hundred twenty-eight million, three hundred thirty-six thousand, four hundred".