28906800400 has 45 divisors (see below), whose sum is σ = 69456758383. Its totient is φ = 11561360000.

The previous prime is 28906800397. The next prime is 28906800421. The reversal of 28906800400 is 400860982.

The square root of 28906800400 is 170020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10166285584 + 18740514816 = 100828^2 + 136896^2 .

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 28906800400.

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, 3396150 + ... + 3404650.

Almost surely, 2^28906800400 is an apocalyptic number.

28906800400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28906800400 is the 170020-th square number.

It is an amenable number.

28906800400 is an abundant number, since it is smaller than the sum of its proper divisors (40549957983).

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

28906800400 is an frugal number, since it uses more digits than its factorization.

28906800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 28906800400 in words is "twenty-eight billion, nine hundred six million, eight hundred thousand, four hundred".