205740928 has 32 divisors (see below), whose sum is σ = 411723000. Its totient is φ = 102406656.

The previous prime is 205740923. The next prime is 205740929. The reversal of 205740928 is 829047502.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205740923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25803 + ... + 32821.

Almost surely, 2^205740928 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 205740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205861500).

205740928 is an abundant number, since it is smaller than the sum of its proper divisors (205982072).

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

205740928 is an equidigital number, since it uses as much as digits as its factorization.

205740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 205740928 is about 14343.6720542544. The cubic root of 205740928 is about 590.3463713550.

The spelling of 205740928 in words is "two hundred five million, seven hundred forty thousand, nine hundred twenty-eight".