32688331009728 has 112 divisors (see below), whose sum is σ = 87911937561600. Its totient is φ = 10716726297600.

The previous prime is 32688331009727. The next prime is 32688331009739. The reversal of 32688331009728 is 82790013388623.

It is not an unprimeable number, because it can be changed into a prime (32688331009723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179090673 + ... + 179273103.

Almost surely, 2^{32688331009728} 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 32688331009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43955968780800).

32688331009728 is an abundant number, since it is smaller than the sum of its proper divisors (55223606551872).

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

32688331009728 is a wasteful number, since it uses less digits than its factorization.

32688331009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197806 (or 197796 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 32688331009728 in words is "thirty-two trillion, six hundred eighty-eight billion, three hundred thirty-one million, nine thousand, seven hundred twenty-eight".