28970556930000 has 800 divisors, whose sum is σ = 119808424032000. Its totient is φ = 6563192832000.

The previous prime is 28970556929987. The next prime is 28970556930011. The reversal of 28970556930000 is 3965507982.

28970556930000 is a `hidden beast` number, since 2 + 8 + 9 + 70 + 5 + 569 + 3 + 0 + 0 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 213502176 + ... + 213637824.

It is an arithmetic number, because the mean of its divisors is an integer number (149760530040).

Almost surely, 2^{28970556930000} is an apocalyptic number.

28970556930000 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 28970556930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59904212016000).

28970556930000 is an abundant number, since it is smaller than the sum of its proper divisors (90837867102000).

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

28970556930000 is a wasteful number, since it uses less digits than its factorization.

28970556930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135806 (or 135779 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 28970556930000 in words is "twenty-eight trillion, nine hundred seventy billion, five hundred fifty-six million, nine hundred thirty thousand".