205428328 has 32 divisors (see below), whose sum is σ = 441129600. Its totient is φ = 87855552.

The previous prime is 205428283. The next prime is 205428367. The reversal of 205428328 is 823824502.

It is a happy number.

205428328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205428293 and 205428302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24901 + ... + 32107.

It is an arithmetic number, because the mean of its divisors is an integer number (13785300).

Almost surely, 2^205428328 is an apocalyptic number.

205428328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205428328 is an abundant number, since it is smaller than the sum of its proper divisors (235701272).

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

205428328 is a wasteful number, since it uses less digits than its factorization.

205428328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 205428328 is about 14332.7711207568. The cubic root of 205428328 is about 590.0472316876.

The spelling of 205428328 in words is "two hundred five million, four hundred twenty-eight thousand, three hundred twenty-eight".