13828 has 6 divisors (see below), whose sum is σ = 24206. Its totient is φ = 6912.

The previous prime is 13807. The next prime is 13829. The reversal of 13828 is 82831.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 6084 = 88^2 + 78^2 .

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13799 and 13808.

It is not an unprimeable number, because it can be changed into a prime (13829) by changing a digit.

13828 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1725 + ... + 1732.

2¹³⁸²⁸ is an apocalyptic number.

It is an amenable number.

13828 is a deficient number, since it is larger than the sum of its proper divisors (10378).

13828 is a wasteful number, since it uses less digits than its factorization.

13828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3459 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 13828 is about 117.5925167687. The cubic root of 13828 is about 24.0023145916.

It can be divided in two parts, 13 and 828, that added together give a square (841 = 29²).

The spelling of 13828 in words is "thirteen thousand, eight hundred twenty-eight".