12728 has 16 divisors (see below), whose sum is σ = 25080. Its totient is φ = 6048.

The previous prime is 12721. The next prime is 12739. The reversal of 12728 is 82721.

12728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 317.

2¹²⁷²⁸ is an apocalyptic number.

It is an amenable number.

12728 is a deficient number, since it is larger than the sum of its proper divisors (12352).

12728 is a wasteful number, since it uses less digits than its factorization.

12728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its digits is 224, while the sum is 20.

The square root of 12728 is about 112.8184382094. The cubic root of 12728 is about 23.3481991437.

The spelling of 12728 in words is "twelve thousand, seven hundred twenty-eight".