28998803131200 has 1512 divisors, whose sum is σ = 124977860280000. Its totient is φ = 6594127626240.

The previous prime is 28998803131159. The next prime is 28998803131229. The reversal of 28998803131200 is 213130889982.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 3791184976 + ... + 3791192624.

It is an arithmetic number, because the mean of its divisors is an integer number (82657315000).

Almost surely, 2^{28998803131200} is an apocalyptic number.

28998803131200 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 28998803131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62488930140000).

28998803131200 is an abundant number, since it is smaller than the sum of its proper divisors (95979057148800).

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

28998803131200 is a wasteful number, since it uses less digits than its factorization.

28998803131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 28998803131200 in words is "twenty-eight trillion, nine hundred ninety-eight billion, eight hundred three million, one hundred thirty-one thousand, two hundred".