28557837360 has 640 divisors, whose sum is σ = 111592857600. Its totient is φ = 6663720960.

The previous prime is 28557837359. The next prime is 28557837397. The reversal of 28557837360 is 6373875582.

28557837360 is a `hidden beast` number, since 2 + 8 + 5 + 578 + 3 + 7 + 3 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 28557837297 and 28557837306.

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 127 ways as a sum of consecutive naturals, for example, 46135131 + ... + 46135749.

It is an arithmetic number, because the mean of its divisors is an integer number (174363840).

Almost surely, 2^28557837360 is an apocalyptic number.

28557837360 is a gapful number since it is divisible by the number (20) 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 28557837360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55796428800).

28557837360 is an abundant number, since it is smaller than the sum of its proper divisors (83035020240).

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

28557837360 is a wasteful number, since it uses less digits than its factorization.

28557837360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 28557837360 in words is "twenty-eight billion, five hundred fifty-seven million, eight hundred thirty-seven thousand, three hundred sixty".