28765584000 has 256 divisors, whose sum is σ = 105954825600. Its totient is φ = 7670707200.

The previous prime is 28765583999. The next prime is 28765584007. The reversal of 28765584000 is 48556782.

28765584000 is a `hidden beast` number, since 2 + 8 + 7 + 65 + 584 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×28765584000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28765584007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398707 + ... + 465293.

Almost surely, 2^28765584000 is an apocalyptic number.

28765584000 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 28765584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52977412800).

28765584000 is an abundant number, since it is smaller than the sum of its proper divisors (77189241600).

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

28765584000 is an equidigital number, since it uses as much as digits as its factorization.

28765584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66625 (or 66597 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 28765584000 in words is "twenty-eight billion, seven hundred sixty-five million, five hundred eighty-four thousand".