28056456 has 80 divisors (see below), whose sum is σ = 81348300. Its totient is φ = 9023616.

The previous prime is 28056439. The next prime is 28056461. The reversal of 28056456 is 65465082.

28056456 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 645 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 1368900 = 5166^2 + 1170^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28056456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18046 + ... + 19538.

Almost surely, 2^28056456 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 28056456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40674150).

28056456 is an abundant number, since it is smaller than the sum of its proper divisors (53291844).

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

28056456 is a wasteful number, since it uses less digits than its factorization.

28056456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 28056456 is about 5296.8345263940. The cubic root of 28056456 is about 303.8628478734.

It can be divided in two parts, 2805 and 6456, that added together give a cube (9261 = 21³).

The spelling of 28056456 in words is "twenty-eight million, fifty-six thousand, four hundred fifty-six".