12528768 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3474432.

The previous prime is 12528749. The next prime is 12528773. The reversal of 12528768 is 86782521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158553 + ... + 158631.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 2^12528768 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 12528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

12528768 is an abundant number, since it is smaller than the sum of its proper divisors (26639232).

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

12528768 is an equidigital number, since it uses as much as digits as its factorization.

12528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 12528768 is about 3539.5999773986. The cubic root of 12528768 is about 232.2573442431.

The spelling of 12528768 in words is "twelve million, five hundred twenty-eight thousand, seven hundred sixty-eight".