28944400 has 45 divisors (see below), whose sum is σ = 69798391. Its totient is φ = 11534720.

The previous prime is 28944371. The next prime is 28944437. The reversal of 28944400 is 444982.

The square root of 28944400 is 5380.

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 11102224 + 17842176 = 3332^2 + 4224^2 .

It is a Duffinian number.

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, 107466 + ... + 107734.

Almost surely, 2^28944400 is an apocalyptic number.

28944400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28944400 is the 5380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28944400

28944400 is an abundant number, since it is smaller than the sum of its proper divisors (40853991).

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

28944400 is an equidigital number, since it uses as much as digits as its factorization.

28944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The cubic root of 28944400 is about 307.0352111891.

Multiplying 28944400 by its product of nonzero digits (9216), we get a square (266751590400 = 516480²).

The spelling of 28944400 in words is "twenty-eight million, nine hundred forty-four thousand, four hundred".