28752171852600 has 1440 divisors, whose sum is σ = 120133535068800. Its totient is φ = 6348164659200.

The previous prime is 28752171852589. The next prime is 28752171852623. The reversal of 28752171852600 is 625817125782.

It is a happy number.

28752171852600 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 2 + 17 + 18 + 5 + 2 + 600 = 666.

It is a super-2 number, since 2×28752171852600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 26305737654 + ... + 26305738746.

It is an arithmetic number, because the mean of its divisors is an integer number (83426066020).

Almost surely, 2^{28752171852600} is an apocalyptic number.

28752171852600 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 28752171852600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60066767534400).

28752171852600 is an abundant number, since it is smaller than the sum of its proper divisors (91381363216200).

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

28752171852600 is a wasteful number, since it uses less digits than its factorization.

28752171852600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 28752171852600 in words is "twenty-eight trillion, seven hundred fifty-two billion, one hundred seventy-one million, eight hundred fifty-two thousand, six hundred".