28465586507600 has 480 divisors, whose sum is σ = 76595935903488. Its totient is φ = 10079354880000.

The previous prime is 28465586507551. The next prime is 28465586507623. The reversal of 28465586507600 is 670568556482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10199062205 + ... + 10199064995.

Almost surely, 2^{28465586507600} is an apocalyptic number.

28465586507600 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 28465586507600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38297967951744).

28465586507600 is an abundant number, since it is smaller than the sum of its proper divisors (48130349395888).

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

28465586507600 is a wasteful number, since it uses less digits than its factorization.

28465586507600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 62.

The spelling of 28465586507600 in words is "twenty-eight trillion, four hundred sixty-five billion, five hundred eighty-six million, five hundred seven thousand, six hundred".