13332625728 has 112 divisors (see below), whose sum is σ = 36046745280. Its totient is φ = 4347592704.

The previous prime is 13332625727. The next prime is 13332625741. The reversal of 13332625728 is 82752623331.

13332625728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13332625728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332625721) 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, 3854976 + ... + 3858432.

It is an arithmetic number, because the mean of its divisors is an integer number (321845940).

Almost surely, 2^13332625728 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 13332625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023372640).

13332625728 is an abundant number, since it is smaller than the sum of its proper divisors (22714119552).

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

13332625728 is a wasteful number, since it uses less digits than its factorization.

13332625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3894 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

It can be divided in two parts, 133326257 and 28, that added together give a triangular number (133326285 = T₁₆₃₂₉).

The spelling of 13332625728 in words is "thirteen billion, three hundred thirty-two million, six hundred twenty-five thousand, seven hundred twenty-eight".