12807328 has 48 divisors (see below), whose sum is σ = 26860680. Its totient is φ = 5999616.

The previous prime is 12807317. The next prime is 12807337. The reversal of 12807328 is 82370821.

It can be written as a sum of positive squares in 4 ways, for example, as 12588304 + 219024 = 3548^2 + 468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12807328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34150 + ... + 34522.

Almost surely, 2^12807328 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 12807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430340).

12807328 is an abundant number, since it is smaller than the sum of its proper divisors (14053352).

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

12807328 is a wasteful number, since it uses less digits than its factorization.

12807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 12807328 is about 3578.7327365983. The cubic root of 12807328 is about 233.9660505451.

The spelling of 12807328 in words is "twelve million, eight hundred seven thousand, three hundred twenty-eight".