205428 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 59904.

The previous prime is 205427. The next prime is 205433. The reversal of 205428 is 824502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3850 + ... + 3902.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²⁰⁵⁴²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

205428 is an abundant number, since it is smaller than the sum of its proper divisors (338892).

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

205428 is a wasteful number, since it uses less digits than its factorization.

205428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 205428 is about 453.2416573970. The cubic root of 205428 is about 59.0046917652.

The spelling of 205428 in words is "two hundred five thousand, four hundred twenty-eight".