205812928 has 56 divisors (see below), whose sum is σ = 416976560. Its totient is φ = 100776960.

The previous prime is 205812923. The next prime is 205812967. The reversal of 205812928 is 829218502.

It is a super-2 number, since 2×205812928² = 84717922663866368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205812923) 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, 1136998 + ... + 1137178.

It is an arithmetic number, because the mean of its divisors is an integer number (7446010).

Almost surely, 2^205812928 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 205812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208488280).

205812928 is an abundant number, since it is smaller than the sum of its proper divisors (211163632).

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

205812928 is a wasteful number, since it uses less digits than its factorization.

205812928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 205812928 is about 14346.1816522725. The cubic root of 205812928 is about 590.4152281479.

The spelling of 205812928 in words is "two hundred five million, eight hundred twelve thousand, nine hundred twenty-eight".