204784128 has 120 divisors (see below), whose sum is σ = 622393200. Its totient is φ = 64641024.

The previous prime is 204784127. The next prime is 204784141. The reversal of 204784128 is 821487402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204784092 and 204784101.

It is not an unprimeable number, because it can be changed into a prime (204784121) 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, 86383 + ... + 88721.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2^204784128 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 204784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311196600).

204784128 is an abundant number, since it is smaller than the sum of its proper divisors (417609072).

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

204784128 is a wasteful number, since it uses less digits than its factorization.

204784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 204784128 is about 14310.2805003955. The cubic root of 204784128 is about 589.4298120589.

The spelling of 204784128 in words is "two hundred four million, seven hundred eighty-four thousand, one hundred twenty-eight".