13259728 has 60 divisors (see below), whose sum is σ = 28843020. Its totient is φ = 5877760.

The previous prime is 13259693. The next prime is 13259731. The reversal of 13259728 is 82795231.

It can be written as a sum of positive squares in 6 ways, for example, as 2050624 + 11209104 = 1432^2 + 3348^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323388 + ... + 323428.

It is an arithmetic number, because the mean of its divisors is an integer number (480717).

Almost surely, 2^13259728 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 13259728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421510).

13259728 is an abundant number, since it is smaller than the sum of its proper divisors (15583292).

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

13259728 is a wasteful number, since it uses less digits than its factorization.

13259728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 13259728 is about 3641.3909430326. The cubic root of 13259728 is about 236.6890710347.

The spelling of 13259728 in words is "thirteen million, two hundred fifty-nine thousand, seven hundred twenty-eight".