19828 has 6 divisors (see below), whose sum is σ = 34706. Its totient is φ = 9912.

The previous prime is 19819. The next prime is 19841. The reversal of 19828 is 82891.

19828 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 784 = 138^2 + 28^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19796 and 19805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2475 + ... + 2482.

2¹⁹⁸²⁸ is an apocalyptic number.

It is an amenable number.

19828 is a deficient number, since it is larger than the sum of its proper divisors (14878).

19828 is a wasteful number, since it uses less digits than its factorization.

19828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4959 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 19828 is about 140.8119313127. The cubic root of 19828 is about 27.0661387242.

The spelling of 19828 in words is "nineteen thousand, eight hundred twenty-eight".