12928 has 16 divisors (see below), whose sum is σ = 26010. Its totient is φ = 6400.

The previous prime is 12923. The next prime is 12941. The reversal of 12928 is 82921.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 5184 = 88^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 12899 and 12908.

It is not an unprimeable number, because it can be changed into a prime (12923) by changing a digit.

12928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78 + ... + 178.

2¹²⁹²⁸ 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 12928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005).

12928 is an abundant number, since it is smaller than the sum of its proper divisors (13082).

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

12928 is an equidigital number, since it uses as much as digits as its factorization.

12928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 12928 is about 113.7013632284. The cubic root of 12928 is about 23.4698572338.

The spelling of 12928 in words is "twelve thousand, nine hundred twenty-eight".