16828 has 12 divisors (see below), whose sum is σ = 33712. Its totient is φ = 7200.

The previous prime is 16823. The next prime is 16829. The reversal of 16828 is 82861.

16828 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

16828 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16823) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 328.

2¹⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

16828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856).

16828 is a wasteful number, since it uses less digits than its factorization.

16828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 16828 is about 129.7227813455. The cubic root of 16828 is about 25.6258040596.

It can be divided in two parts, 1682 and 8, that multiplied together give a square (13456 = 116²).

The spelling of 16828 in words is "sixteen thousand, eight hundred twenty-eight".