28599298560 has 1600 divisors, whose sum is σ = 132616154880. Its totient is φ = 5733089280.

The previous prime is 28599298517. The next prime is 28599298573. The reversal of 28599298560 is 6589299582.

28599298560 is a `hidden beast` number, since 285 + 9 + 9 + 298 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 468840930 + ... + 468840990.

Almost surely, 2^28599298560 is an apocalyptic number.

28599298560 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 28599298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66308077440).

28599298560 is an abundant number, since it is smaller than the sum of its proper divisors (104016856320).

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

28599298560 is a wasteful number, since it uses less digits than its factorization.

28599298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 28599298560 in words is "twenty-eight billion, five hundred ninety-nine million, two hundred ninety-eight thousand, five hundred sixty".