204352128 has 96 divisors (see below), whose sum is σ = 591926400. Its totient is φ = 67668480.

The previous prime is 204352123. The next prime is 204352139. The reversal of 204352128 is 821253402.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (204352123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205713 + ... + 206703.

It is an arithmetic number, because the mean of its divisors is an integer number (6165900).

Almost surely, 2^204352128 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 204352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

204352128 is an abundant number, since it is smaller than the sum of its proper divisors (387574272).

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

204352128 is a wasteful number, since it uses less digits than its factorization.

204352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204352128 is about 14295.1784878679. The cubic root of 204352128 is about 589.0150453081.

It can be divided in two parts, 204352 and 128, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 204352128 in words is "two hundred four million, three hundred fifty-two thousand, one hundred twenty-eight".