28566258336 has 960 divisors, whose sum is σ = 112405708800. Its totient is φ = 7041323520.

The previous prime is 28566258323. The next prime is 28566258349. The reversal of 28566258336 is 63385266582.

28566258336 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 625 + 8 + 3 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28566258323) and next prime (28566258349).

It is a super-2 number, since 2×28566258336² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 224931105 + ... + 224931231.

It is an arithmetic number, because the mean of its divisors is an integer number (117089280).

Almost surely, 2^28566258336 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 28566258336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56202854400).

28566258336 is an abundant number, since it is smaller than the sum of its proper divisors (83839450464).

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

28566258336 is a wasteful number, since it uses less digits than its factorization.

28566258336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 28566258336 in words is "twenty-eight billion, five hundred sixty-six million, two hundred fifty-eight thousand, three hundred thirty-six".