205636928 has 84 divisors (see below), whose sum is σ = 495495072. Its totient is φ = 84268800.

The previous prime is 205636927. The next prime is 205636961. The reversal of 205636928 is 829636502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205636927) 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, 70703 + ... + 73553.

Almost surely, 2^205636928 is an apocalyptic number.

205636928 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 205636928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247747536).

205636928 is an abundant number, since it is smaller than the sum of its proper divisors (289858144).

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

205636928 is a wasteful number, since it uses less digits than its factorization.

205636928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 205636928 is about 14340.0463039699. The cubic root of 205636928 is about 590.2468831764.

The spelling of 205636928 in words is "two hundred five million, six hundred thirty-six thousand, nine hundred twenty-eight".