12918528 has 180 divisors, whose sum is σ = 44518320. Its totient is φ = 3649536.

The previous prime is 12918523. The next prime is 12918547. The reversal of 12918528 is 82581921.

12918528 is a `hidden beast` number, since 129 + 1 + 8 + 528 = 666.

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 = 12918492 and 12918501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12918523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145108 + ... + 145196.

It is an arithmetic number, because the mean of its divisors is an integer number (247324).

Almost surely, 2^12918528 is an apocalyptic number.

12918528 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 12918528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259160).

12918528 is an abundant number, since it is smaller than the sum of its proper divisors (31599792).

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

12918528 is an frugal number, since it uses more digits than its factorization.

12918528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 12918528 is about 3594.2353846124. The cubic root of 12918528 is about 234.6412392100.

The spelling of 12918528 in words is "twelve million, nine hundred eighteen thousand, five hundred twenty-eight".