28562608224 has 144 divisors (see below), whose sum is σ = 81809844480. Its totient is φ = 9452609280.

The previous prime is 28562608169. The next prime is 28562608231. The reversal of 28562608224 is 42280626582.

28562608224 is a `hidden beast` number, since 2 + 8 + 562 + 6 + 0 + 82 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 28562608224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31079637 + ... + 31080555.

It is an arithmetic number, because the mean of its divisors is an integer number (568123920).

Almost surely, 2^28562608224 is an apocalyptic number.

28562608224 is a gapful number since it is divisible by the number (24) 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 28562608224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40904922240).

28562608224 is an abundant number, since it is smaller than the sum of its proper divisors (53247236256).

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

28562608224 is a wasteful number, since it uses less digits than its factorization.

28562608224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28562608224 in words is "twenty-eight billion, five hundred sixty-two million, six hundred eight thousand, two hundred twenty-four".