12528144 has 90 divisors (see below), whose sum is σ = 37157406. Its totient is φ = 3939840.

The previous prime is 12528143. The next prime is 12528151. The reversal of 12528144 is 44182521.

It can be written as a sum of positive squares in only one way, i.e., 11696400 + 831744 = 3420^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (12528143) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 51864 + ... + 52104.

Almost surely, 2^12528144 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 12528144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578703).

12528144 is an abundant number, since it is smaller than the sum of its proper divisors (24629262).

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

12528144 is a wasteful number, since it uses less digits than its factorization.

12528144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 12528144 is about 3539.5118307473. The cubic root of 12528144 is about 232.2534882910.

The spelling of 12528144 in words is "twelve million, five hundred twenty-eight thousand, one hundred forty-four".