205016928 has 48 divisors (see below), whose sum is σ = 541771776. Its totient is φ = 67881600.

The previous prime is 205016927. The next prime is 205016941. The reversal of 205016928 is 829610502.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205016927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7425 + ... + 21567.

It is an arithmetic number, because the mean of its divisors is an integer number (11286912).

Almost surely, 2^205016928 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 205016928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270885888).

205016928 is an abundant number, since it is smaller than the sum of its proper divisors (336754848).

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

205016928 is a wasteful number, since it uses less digits than its factorization.

205016928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14307 (or 14299 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 205016928 is about 14318.4122024755. The cubic root of 205016928 is about 589.6530834246.

The spelling of 205016928 in words is "two hundred five million, sixteen thousand, nine hundred twenty-eight".