28199056888800 has 1728 divisors, whose sum is σ = 119812031539200. Its totient is φ = 6338945433600.

The previous prime is 28199056888759. The next prime is 28199056888861. The reversal of 28199056888800 is 888865099182.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49558974916 + ... + 49558975484.

It is an arithmetic number, because the mean of its divisors is an integer number (69335666400).

Almost surely, 2^{28199056888800} is an apocalyptic number.

28199056888800 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 28199056888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59906015769600).

28199056888800 is an abundant number, since it is smaller than the sum of its proper divisors (91612974650400).

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

28199056888800 is a wasteful number, since it uses less digits than its factorization.

28199056888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 72.

The spelling of 28199056888800 in words is "twenty-eight trillion, one hundred ninety-nine billion, fifty-six million, eight hundred eighty-eight thousand, eight hundred".