12984328 has 64 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 5001216.

The previous prime is 12984289. The next prime is 12984329. The reversal of 12984328 is 82348921.

It is a super-2 number, since 2×12984328² = 337185547223168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12984329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21600 + ... + 22192.

It is an arithmetic number, because the mean of its divisors is an integer number (481140).

Almost surely, 2^12984328 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 12984328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396480).

12984328 is an abundant number, since it is smaller than the sum of its proper divisors (17808632).

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

12984328 is a wasteful number, since it uses less digits than its factorization.

12984328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 12984328 is about 3603.3773046962. The cubic root of 12984328 is about 235.0389432971.

The spelling of 12984328 in words is "twelve million, nine hundred eighty-four thousand, three hundred twenty-eight".