10828 has 6 divisors (see below), whose sum is σ = 18956. Its totient is φ = 5412.

The previous prime is 10799. The next prime is 10831. The reversal of 10828 is 82801.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1350 + ... + 1357.

2¹⁰⁸²⁸ is an apocalyptic number.

It is an amenable number.

10828 is a deficient number, since it is larger than the sum of its proper divisors (8128).

10828 is a wasteful number, since it uses less digits than its factorization.

10828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10828 is about 104.0576763146. The cubic root of 10828 is about 22.1232748929.

It can be divided in two parts, 108 and 28, that added together give a triangular number (136 = T₁₆).

The spelling of 10828 in words is "ten thousand, eight hundred twenty-eight".