28993860403200 has 3312 divisors, whose sum is σ = 142297618262400. Its totient is φ = 5707608883200.

The previous prime is 28993860403171. The next prime is 28993860403297. The reversal of 28993860403200 is 230406839982.

It is a happy number.

28993860403200 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 3 + 8 + 604 + 0 + 3 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1525992652791 + ... + 1525992652809.

Almost surely, 2^{28993860403200} is an apocalyptic number.

28993860403200 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 28993860403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71148809131200).

28993860403200 is an abundant number, since it is smaller than the sum of its proper divisors (113303757859200).

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

28993860403200 is an frugal number, since it uses more digits than its factorization.

28993860403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 28993860403200 in words is "twenty-eight trillion, nine hundred ninety-three billion, eight hundred sixty million, four hundred three thousand, two hundred".