28566720 has 336 divisors, whose sum is σ = 122041920. Its totient is φ = 5971968.

The previous prime is 28566689. The next prime is 28566737. The reversal of 28566720 is 2766582.

28566720 is a `hidden beast` number, since 28 + 566 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262026 + ... + 262134.

It is an arithmetic number, because the mean of its divisors is an integer number (363220).

Almost surely, 2^28566720 is an apocalyptic number.

28566720 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 28566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020960).

28566720 is an abundant number, since it is smaller than the sum of its proper divisors (93475200).

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

28566720 is a wasteful number, since it uses less digits than its factorization.

28566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 28566720 is about 5344.7843735739. The cubic root of 28566720 is about 305.6939141020.

The spelling of 28566720 in words is "twenty-eight million, five hundred sixty-six thousand, seven hundred twenty".