28157707584 has 168 divisors, whose sum is σ = 81752434920. Its totient is φ = 9265152000.

The previous prime is 28157707573. The next prime is 28157707603. The reversal of 28157707584 is 48570775182.

28157707584 is a `hidden beast` number, since 2 + 8 + 1 + 57 + 7 + 0 + 7 + 584 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1757957184 + 26399750400 = 41928^2 + 162480^2 .

It is a super-2 number, since 2×28157707584² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28157707584.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 30309232 + ... + 30310160.

Almost surely, 2^28157707584 is an apocalyptic number.

28157707584 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 28157707584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40876217460).

28157707584 is an abundant number, since it is smaller than the sum of its proper divisors (53594727336).

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

28157707584 is a wasteful number, since it uses less digits than its factorization.

28157707584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 28157707584 in words is "twenty-eight billion, one hundred fifty-seven million, seven hundred seven thousand, five hundred eighty-four".