204500128 has 72 divisors (see below), whose sum is σ = 479915604. Its totient is φ = 85478400.

The previous prime is 204500117. The next prime is 204500171. The reversal of 204500128 is 821005402.

204500128 is digitally balanced in base 3, 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 151093264 + 53406864 = 12292^2 + 7308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204500099 and 204500108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62698 + ... + 65878.

Almost surely, 2^204500128 is an apocalyptic number.

204500128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204500128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239957802).

204500128 is an abundant number, since it is smaller than the sum of its proper divisors (275415476).

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

204500128 is a wasteful number, since it uses less digits than its factorization.

204500128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 204500128 is about 14300.3541214894. The cubic root of 204500128 is about 589.1572070936.

The spelling of 204500128 in words is "two hundred four million, five hundred thousand, one hundred twenty-eight".