12813328 has 40 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 5696640.

The previous prime is 12813301. The next prime is 12813329. The reversal of 12813328 is 82331821.

It is a junction number, because it is equal to n+sod(n) for n = 12813296 and 12813305.

It is not an unprimeable number, because it can be changed into a prime (12813329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7498 + ... + 9046.

It is an arithmetic number, because the mean of its divisors is an integer number (691920).

Almost surely, 2^12813328 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 12813328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

12813328 is an abundant number, since it is smaller than the sum of its proper divisors (14863472).

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

12813328 is a wasteful number, since it uses less digits than its factorization.

12813328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 12813328 is about 3579.5709240075. The cubic root of 12813328 is about 234.0025811194.

It can be divided in two parts, 128 and 13328, that added together give a square (13456 = 116²).

The spelling of 12813328 in words is "twelve million, eight hundred thirteen thousand, three hundred twenty-eight".