28352599558920 has 1536 divisors, whose sum is σ = 121177824768000. Its totient is φ = 5802594029568.

The previous prime is 28352599558909. The next prime is 28352599558957. The reversal of 28352599558920 is 2985599525382.

28352599558920 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 2 + 599 + 5 + 5 + 8 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 383 ways as a sum of consecutive naturals, for example, 5667117139 + ... + 5667122141.

It is an arithmetic number, because the mean of its divisors is an integer number (78891813000).

Almost surely, 2^{28352599558920} is an apocalyptic number.

28352599558920 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 28352599558920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60588912384000).

28352599558920 is an abundant number, since it is smaller than the sum of its proper divisors (92825225209080).

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

28352599558920 is a wasteful number, since it uses less digits than its factorization.

28352599558920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 72.

The spelling of 28352599558920 in words is "twenty-eight trillion, three hundred fifty-two billion, five hundred ninety-nine million, five hundred fifty-eight thousand, nine hundred twenty".