204728384 has 56 divisors (see below), whose sum is σ = 467563200. Its totient is φ = 87123456.

The previous prime is 204728357. The next prime is 204728389. The reversal of 204728384 is 483827402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×204728384² = 83827422430502912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204728389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65219 + ... + 68285.

Almost surely, 2^204728384 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 204728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233781600).

204728384 is an abundant number, since it is smaller than the sum of its proper divisors (262834816).

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

204728384 is a wasteful number, since it uses less digits than its factorization.

204728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 204728384 is about 14308.3326771501. The cubic root of 204728384 is about 589.3763245848.

The spelling of 204728384 in words is "two hundred four million, seven hundred twenty-eight thousand, three hundred eighty-four".