205255328 has 48 divisors (see below), whose sum is σ = 426888000. Its totient is φ = 96878592.

The previous prime is 205255313. The next prime is 205255333. The reversal of 205255328 is 823552502.

205255328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 205255294 and 205255303.

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, 266528 + ... + 267296.

It is an arithmetic number, because the mean of its divisors is an integer number (8893500).

Almost surely, 2^205255328 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 205255328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444000).

205255328 is an abundant number, since it is smaller than the sum of its proper divisors (221632672).

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

205255328 is a wasteful number, since it uses less digits than its factorization.

205255328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 205255328 is about 14326.7347291698. The cubic root of 205255328 is about 589.8815504817.

The spelling of 205255328 in words is "two hundred five million, two hundred fifty-five thousand, three hundred twenty-eight".