205828 has 12 divisors (see below), whose sum is σ = 411712. Its totient is φ = 88200.

The previous prime is 205823. The next prime is 205837. The reversal of 205828 is 828502.

205828 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (205823) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 3648 + ... + 3703.

2²⁰⁵⁸²⁸ is an apocalyptic number.

205828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205828 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.

205828 is a wasteful number, since it uses less digits than its factorization.

205828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 205828 is about 453.6827085089. The cubic root of 205828 is about 59.0429640137.

The spelling of 205828 in words is "two hundred five thousand, eight hundred twenty-eight".