12528 has 40 divisors (see below), whose sum is σ = 37200. Its totient is φ = 4032.

The previous prime is 12527. The next prime is 12539. The reversal of 12528 is 82521.

12528 = 2² + 3² + ... + 33².

12528 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

2¹²⁵²⁸ is an apocalyptic number.

12528 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 12528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600).

12528 is an abundant number, since it is smaller than the sum of its proper divisors (24672).

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

12528 is a wasteful number, since it uses less digits than its factorization.

12528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12528 is about 111.9285486371. The cubic root of 12528 is about 23.2252598438.

12528 divided by its sum of digits (18) gives a palindrome (696).

It can be divided in two parts, 125 and 28, that added together give a triangular number (153 = T₁₇).

The spelling of 12528 in words is "twelve thousand, five hundred twenty-eight".