6928582128400 has 45 divisors (see below), whose sum is σ = 16646045042613. Its totient is φ = 2771411793600.

The previous prime is 6928582128389. The next prime is 6928582128409. The reversal of 6928582128400 is 48212858296.

The square root of 6928582128400 is 2632220.

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., 2494289566224 + 4434292562176 = 1579332^2 + 2105776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6928582128409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52578595 + ... + 52710205.

Almost surely, 2^{6928582128400} is an apocalyptic number.

6928582128400 is the 2632220-th square number.

It is an amenable number.

6928582128400 is an abundant number, since it is smaller than the sum of its proper divisors (9717462914213).

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

6928582128400 is an frugal number, since it uses more digits than its factorization.

6928582128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263240 (or 131618 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 6928582128400 in words is "six trillion, nine hundred twenty-eight billion, five hundred eighty-two million, one hundred twenty-eight thousand, four hundred".