31767985728 has 112 divisors (see below), whose sum is σ = 94517626560. Its totient is φ = 10461699072.

The previous prime is 31767985709. The next prime is 31767985729. The reversal of 31767985728 is 82758976713.

It is not an unprimeable number, because it can be changed into a prime (31767985729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32676 + ... + 254172.

It is an arithmetic number, because the mean of its divisors is an integer number (843907380).

Almost surely, 2^31767985728 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 31767985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47258813280).

31767985728 is an abundant number, since it is smaller than the sum of its proper divisors (62749640832).

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

31767985728 is a wasteful number, since it uses less digits than its factorization.

31767985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221601 (or 221585 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 31767985728 in words is "thirty-one billion, seven hundred sixty-seven million, nine hundred eighty-five thousand, seven hundred twenty-eight".