204088128 has 112 divisors (see below), whose sum is σ = 590482944. Its totient is φ = 61931520.

The previous prime is 204088121. The next prime is 204088153. The reversal of 204088128 is 821880402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204088121) 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, 100176 + ... + 102192.

Almost surely, 2^204088128 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 204088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295241472).

204088128 is an abundant number, since it is smaller than the sum of its proper divisors (386394816).

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

204088128 is a wasteful number, since it uses less digits than its factorization.

204088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 204088128 is about 14285.9416210483. The cubic root of 204088128 is about 588.7612889050.

The spelling of 204088128 in words is "two hundred four million, eighty-eight thousand, one hundred twenty-eight".