33982699728 has 160 divisors (see below), whose sum is σ = 94111833600. Its totient is φ = 10545389568.

The previous prime is 33982699693. The next prime is 33982699733. The reversal of 33982699728 is 82799628933.

It is a super-2 number, since 2×33982699728² (a number of 22 digits) contains 22 as substring.

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, 5817033 + ... + 5822871.

It is an arithmetic number, because the mean of its divisors is an integer number (588198960).

Almost surely, 2^33982699728 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 33982699728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47055916800).

33982699728 is an abundant number, since it is smaller than the sum of its proper divisors (60129133872).

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

33982699728 is a wasteful number, since it uses less digits than its factorization.

33982699728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6023 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The spelling of 33982699728 in words is "thirty-three billion, nine hundred eighty-two million, six hundred ninety-nine thousand, seven hundred twenty-eight".