12804288 has 84 divisors (see below), whose sum is σ = 39438072. Its totient is φ = 3655680.

The previous prime is 12804287. The next prime is 12804289. The reversal of 12804288 is 88240821.

It is an interprime number because it is at equal distance from previous prime (12804287) and next prime (12804289).

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (12804287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8728 + ... + 10088.

Almost surely, 2^12804288 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 12804288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719036).

12804288 is an abundant number, since it is smaller than the sum of its proper divisors (26633784).

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

12804288 is a wasteful number, since it uses less digits than its factorization.

12804288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 12804288 is about 3578.3079800375. The cubic root of 12804288 is about 233.9475373658.

The spelling of 12804288 in words is "twelve million, eight hundred four thousand, two hundred eighty-eight".