12578328 has 160 divisors (see below), whose sum is σ = 41817600. Its totient is φ = 3457728.

The previous prime is 12578303. The next prime is 12578339. The reversal of 12578328 is 82387521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12578292 and 12578301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213163 + ... + 213221.

It is an arithmetic number, because the mean of its divisors is an integer number (261360).

Almost surely, 2^12578328 is an apocalyptic number.

12578328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12578328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908800).

12578328 is an abundant number, since it is smaller than the sum of its proper divisors (29239272).

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

12578328 is a wasteful number, since it uses less digits than its factorization.

12578328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12578328 is about 3546.5938589018. The cubic root of 12578328 is about 232.5631878203.

The spelling of 12578328 in words is "twelve million, five hundred seventy-eight thousand, three hundred twenty-eight".