108972409728 has 256 divisors, whose sum is σ = 361144627200. Its totient is φ = 28345614336.

The previous prime is 108972409697. The next prime is 108972409739. The reversal of 108972409728 is 827904279801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2529553 + ... + 2572271.

It is an arithmetic number, because the mean of its divisors is an integer number (1410721200).

Almost surely, 2^108972409728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108972409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180572313600).

108972409728 is an abundant number, since it is smaller than the sum of its proper divisors (252172217472).

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

108972409728 is a wasteful number, since it uses less digits than its factorization.

108972409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42829 (or 42817 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 108972409728 in words is "one hundred eight billion, nine hundred seventy-two million, four hundred nine thousand, seven hundred twenty-eight".