13028 has 6 divisors (see below), whose sum is σ = 22806. Its totient is φ = 6512.

The previous prime is 13009. The next prime is 13033. The reversal of 13028 is 82031.

13028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 484 = 112^2 + 22^2 .

It is a nialpdrome in base 11.

It is an unprimeable number.

13028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 1625 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (3801).

2¹³⁰²⁸ is an apocalyptic number.

It is an amenable number.

13028 is a deficient number, since it is larger than the sum of its proper divisors (9778).

13028 is a wasteful number, since it uses less digits than its factorization.

13028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13028 is about 114.1402645870. The cubic root of 13028 is about 23.5302161490.

Adding to 13028 its reverse (82031), we get a palindrome (95059).

The spelling of 13028 in words is "thirteen thousand, twenty-eight".