204356628 has 192 divisors, whose sum is σ = 654796800. Its totient is φ = 53809920.

The previous prime is 204356599. The next prime is 204356639. The reversal of 204356628 is 826653402.

204356628 is a `hidden beast` number, since 20 + 4 + 3 + 5 + 6 + 628 = 666.

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 = 204356592 and 204356601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588751 + ... + 589097.

It is an arithmetic number, because the mean of its divisors is an integer number (3410400).

Almost surely, 2^204356628 is an apocalyptic number.

204356628 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 204356628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327398400).

204356628 is an abundant number, since it is smaller than the sum of its proper divisors (450440172).

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

204356628 is a wasteful number, since it uses less digits than its factorization.

204356628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 204356628 is about 14295.3358827276. The cubic root of 204356628 is about 589.0193688064.

The spelling of 204356628 in words is "two hundred four million, three hundred fifty-six thousand, six hundred twenty-eight".