33687268728 has 128 divisors (see below), whose sum is σ = 87771340800. Its totient is φ = 10762876800.

The previous prime is 33687268691. The next prime is 33687268729. The reversal of 33687268728 is 82786278633.

It is a super-2 number, since 2×33687268728² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33687268729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58996683 + ... + 58997253.

It is an arithmetic number, because the mean of its divisors is an integer number (685713600).

Almost surely, 2^33687268728 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 33687268728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43885670400).

33687268728 is an abundant number, since it is smaller than the sum of its proper divisors (54084072072).

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

33687268728 is a wasteful number, since it uses less digits than its factorization.

33687268728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 33687268728 in words is "thirty-three billion, six hundred eighty-seven million, two hundred sixty-eight thousand, seven hundred twenty-eight".