204928128 has 48 divisors (see below), whose sum is σ = 589705350. Its totient is φ = 68308992.

The previous prime is 204928121. The next prime is 204928159. The reversal of 204928128 is 821829402.

It can be written as a sum of positive squares in only one way, i.e., 182574144 + 22353984 = 13512^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 = 204928092 and 204928101.

It is not an unprimeable number, because it can be changed into a prime (204928121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87793 + ... + 90096.

Almost surely, 2^204928128 is an apocalyptic number.

It is an amenable number.

204928128 is an abundant number, since it is smaller than the sum of its proper divisors (384777222).

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

204928128 is a wasteful number, since it uses less digits than its factorization.

204928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177909 (or 177894 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 204928128 is about 14315.3109641391. The cubic root of 204928128 is about 589.5679380076.

The spelling of 204928128 in words is "two hundred four million, nine hundred twenty-eight thousand, one hundred twenty-eight".