28057600 has 84 divisors (see below), whose sum is σ = 70086474. Its totient is φ = 11141120.

The previous prime is 28057597. The next prime is 28057619. The reversal of 28057600 is 675082.

It can be written as a sum of positive squares in 3 ways, for example, as 21827584 + 6230016 = 4672^2 + 2496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204732 + ... + 204868.

Almost surely, 2^28057600 is an apocalyptic number.

28057600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35043237).

28057600 is an abundant number, since it is smaller than the sum of its proper divisors (42028874).

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

28057600 is an equidigital number, since it uses as much as digits as its factorization.

28057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 28057600 is about 5296.9425143190. The cubic root of 28057600 is about 303.8669778127.

The spelling of 28057600 in words is "twenty-eight million, fifty-seven thousand, six hundred".