12809328 has 80 divisors (see below), whose sum is σ = 38449920. Its totient is φ = 3598848.

The previous prime is 12809327. The next prime is 12809351. The reversal of 12809328 is 82390821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12809327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22228 + ... + 22796.

It is an arithmetic number, because the mean of its divisors is an integer number (480624).

Almost surely, 2^12809328 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 12809328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224960).

12809328 is an abundant number, since it is smaller than the sum of its proper divisors (25640592).

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

12809328 is a wasteful number, since it uses less digits than its factorization.

12809328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12809328 is about 3579.0121542124. The cubic root of 12809328 is about 233.9782286706.

The spelling of 12809328 in words is "twelve million, eight hundred nine thousand, three hundred twenty-eight".