28361539584 has 600 divisors, whose sum is σ = 100484068608. Its totient is φ = 7803371520.

The previous prime is 28361539579. The next prime is 28361539607. The reversal of 28361539584 is 48593516382.

28361539584 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 1 + 53 + 9 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28361539584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399458269 + ... + 399458339.

Almost surely, 2^28361539584 is an apocalyptic number.

28361539584 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 28361539584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50242034304).

28361539584 is an abundant number, since it is smaller than the sum of its proper divisors (72122529024).

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

28361539584 is an frugal number, since it uses more digits than its factorization.

28361539584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 28361539584 in words is "twenty-eight billion, three hundred sixty-one million, five hundred thirty-nine thousand, five hundred eighty-four".