205728 has 24 divisors (see below), whose sum is σ = 540288. Its totient is φ = 68544.

The previous prime is 205721. The next prime is 205759. The reversal of 205728 is 827502.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 205698 and 205707.

It is not an unprimeable number, because it can be changed into a prime (205721) 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, 976 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (22512).

2²⁰⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

205728 is an abundant number, since it is smaller than the sum of its proper divisors (334560).

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

205728 is a wasteful number, since it uses less digits than its factorization.

205728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 205728 is about 453.5724859380. The cubic root of 205728 is about 59.0334006034.

The spelling of 205728 in words is "two hundred five thousand, seven hundred twenty-eight".