204059128 has 96 divisors (see below), whose sum is σ = 500441760. Its totient is φ = 77172480.

The previous prime is 204059113. The next prime is 204059147. The reversal of 204059128 is 821950402.

204059128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 204059128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116338 + ... + 118078.

It is an arithmetic number, because the mean of its divisors is an integer number (5212935).

Almost surely, 2^204059128 is an apocalyptic number.

204059128 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 204059128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250220880).

204059128 is an abundant number, since it is smaller than the sum of its proper divisors (296382632).

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

204059128 is a wasteful number, since it uses less digits than its factorization.

204059128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 204059128 is about 14284.9266011415. The cubic root of 204059128 is about 588.7334008119.

The spelling of 204059128 in words is "two hundred four million, fifty-nine thousand, one hundred twenty-eight".