28812757116000 has 1536 divisors, whose sum is σ = 113539421399040. Its totient is φ = 6295584768000.

The previous prime is 28812757115977. The next prime is 28812757116019. The reversal of 28812757116000 is 61175721882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12676090864 + ... + 12676093136.

It is an arithmetic number, because the mean of its divisors is an integer number (73918894140).

Almost surely, 2^{28812757116000} is an apocalyptic number.

28812757116000 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 28812757116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56769710699520).

28812757116000 is an abundant number, since it is smaller than the sum of its proper divisors (84726664283040).

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

28812757116000 is a wasteful number, since it uses less digits than its factorization.

28812757116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The spelling of 28812757116000 in words is "twenty-eight trillion, eight hundred twelve billion, seven hundred fifty-seven million, one hundred sixteen thousand".