28825248400 has 135 divisors (see below), whose sum is σ = 75104580369. Its totient is φ = 10626869760.

The previous prime is 28825248343. The next prime is 28825248427. The reversal of 28825248400 is 484252882.

The square root of 28825248400 is 169780.

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 28800805264 + 24443136 = 169708^2 + 4944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44142474 + ... + 44143126.

Almost surely, 2^28825248400 is an apocalyptic number.

28825248400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28825248400 is the 169780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28825248400

28825248400 is an abundant number, since it is smaller than the sum of its proper divisors (46279331969).

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

28825248400 is an equidigital number, since it uses as much as digits as its factorization.

28825248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 43.

The spelling of 28825248400 in words is "twenty-eight billion, eight hundred twenty-five million, two hundred forty-eight thousand, four hundred".