28566400 has 96 divisors (see below), whose sum is σ = 72093600. Its totient is φ = 11182080.

The previous prime is 28566397. The next prime is 28566401. The reversal of 28566400 is 466582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28566401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252744 + ... + 252856.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 2^28566400 is an apocalyptic number.

28566400 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 28566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36046800).

28566400 is an abundant number, since it is smaller than the sum of its proper divisors (43527200).

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

28566400 is a wasteful number, since it uses less digits than its factorization.

28566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 28566400 is about 5344.7544377642. The cubic root of 28566400 is about 305.6927726523.

The spelling of 28566400 in words is "twenty-eight million, five hundred sixty-six thousand, four hundred".