12528928 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 5775616.

The previous prime is 12528913. The next prime is 12528937. The reversal of 12528928 is 82982521.

12528928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21051 + ... + 21637.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^12528928 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 12528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

12528928 is an abundant number, since it is smaller than the sum of its proper divisors (14142752).

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

12528928 is a wasteful number, since it uses less digits than its factorization.

12528928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 12528928 is about 3539.6225787505. The cubic root of 12528928 is about 232.2583329281.

It can be divided in two parts, 12528 and 928, that added together give a square (13456 = 116²).

The spelling of 12528928 in words is "twelve million, five hundred twenty-eight thousand, nine hundred twenty-eight".