28838832400 has 135 divisors (see below), whose sum is σ = 80663678991. Its totient is φ = 9879448320.

The previous prime is 28838832397. The next prime is 28838832401. The reversal of 28838832400 is 423883882.

The square root of 28838832400 is 169820.

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 12650850576 + 16187981824 = 112476^2 + 127232^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28838832401) 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, 23774194 + ... + 23775406.

Almost surely, 2^28838832400 is an apocalyptic number.

28838832400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28838832400 is the 169820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28838832400

28838832400 is an abundant number, since it is smaller than the sum of its proper divisors (51824846591).

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

28838832400 is an equidigital number, since it uses as much as digits as its factorization.

28838832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 28838832400 in words is "twenty-eight billion, eight hundred thirty-eight million, eight hundred thirty-two thousand, four hundred".