32020131031728 has 400 divisors, whose sum is σ = 98176060600800. Its totient is φ = 8989944606720.

The previous prime is 32020131031717. The next prime is 32020131031751. The reversal of 32020131031728 is 82713013102023.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11733282268 + ... + 11733284996.

It is an arithmetic number, because the mean of its divisors is an integer number (245440151502).

Almost surely, 2^{32020131031728} 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 32020131031728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088030300400).

32020131031728 is an abundant number, since it is smaller than the sum of its proper divisors (66155929569072).

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

32020131031728 is a wasteful number, since it uses less digits than its factorization.

32020131031728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 32020131031728 in words is "thirty-two trillion, twenty billion, one hundred thirty-one million, thirty-one thousand, seven hundred twenty-eight".