28564416 has 84 divisors (see below), whose sum is σ = 82853784. Its totient is φ = 9408000.

The previous prime is 28564397. The next prime is 28564421. The reversal of 28564416 is 61446582.

28564416 is a `hidden beast` number, since 2 + 8 + 5 + 644 + 1 + 6 = 666.

It is a super-2 number, since 2×28564416² = 1631851722842112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57931 + ... + 58421.

Almost surely, 2^28564416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41426892).

28564416 is an abundant number, since it is smaller than the sum of its proper divisors (54289368).

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

28564416 is a wasteful number, since it uses less digits than its factorization.

28564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28564416 is about 5344.5688320013. The cubic root of 28564416 is about 305.6856954742.

The spelling of 28564416 in words is "twenty-eight million, five hundred sixty-four thousand, four hundred sixteen".