205205328 has 60 divisors (see below), whose sum is σ = 588313908. Its totient is φ = 66731520.

The previous prime is 205205323. The next prime is 205205383. The reversal of 205205328 is 823502502.

205205328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 178703424 = 5148^2 + 13368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205205323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11475 + ... + 23282.

Almost surely, 2^205205328 is an apocalyptic number.

It is an amenable number.

205205328 is an abundant number, since it is smaller than the sum of its proper divisors (383108580).

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

205205328 is a wasteful number, since it uses less digits than its factorization.

205205328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34812 (or 34803 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 205205328 is about 14324.9896335041. The cubic root of 205205328 is about 589.8336483996.

The spelling of 205205328 in words is "two hundred five million, two hundred five thousand, three hundred twenty-eight".