12593328 has 160 divisors (see below), whose sum is σ = 39854592. Its totient is φ = 3379200.

The previous prime is 12593309. The next prime is 12593359. The reversal of 12593328 is 82339521.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 206418 + ... + 206478.

Almost surely, 2^12593328 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 12593328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

12593328 is an abundant number, since it is smaller than the sum of its proper divisors (27261264).

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

12593328 is a wasteful number, since it uses less digits than its factorization.

12593328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 12593328 is about 3548.7079338824. The cubic root of 12593328 is about 232.6555970829.

It can be divided in two parts, 12593 and 328, that added together give a palindrome (12921).

The spelling of 12593328 in words is "twelve million, five hundred ninety-three thousand, three hundred twenty-eight".