28517045760 has 640 divisors, whose sum is σ = 122610723840. Its totient is φ = 6132989952.

The previous prime is 28517045707. The next prime is 28517045801. The reversal of 28517045760 is 6754071582.

28517045760 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 70 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8223547 + ... + 8227013.

It is an arithmetic number, because the mean of its divisors is an integer number (191579256).

Almost surely, 2^28517045760 is an apocalyptic number.

28517045760 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 28517045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61305361920).

28517045760 is an abundant number, since it is smaller than the sum of its proper divisors (94093678080).

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

28517045760 is a wasteful number, since it uses less digits than its factorization.

28517045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 28517045760 in words is "twenty-eight billion, five hundred seventeen million, forty-five thousand, seven hundred sixty".