32938495009728 has 2688 divisors, whose sum is σ = 128429162496000. Its totient is φ = 7351426252800.

The previous prime is 32938495009703. The next prime is 32938495009741. The reversal of 32938495009728 is 82790059483923.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 137817970633 + ... + 137817970871.

Almost surely, 2^{32938495009728} is an apocalyptic number.

32938495009728 is a gapful number since it is divisible by the number (38) 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 32938495009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214581248000).

32938495009728 is an abundant number, since it is smaller than the sum of its proper divisors (95490667486272).

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

32938495009728 is a wasteful number, since it uses less digits than its factorization.

32938495009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 32938495009728 in words is "thirty-two trillion, nine hundred thirty-eight billion, four hundred ninety-five million, nine thousand, seven hundred twenty-eight".