205958928 has 160 divisors (see below), whose sum is σ = 657100800. Its totient is φ = 54286848.

The previous prime is 205958891. The next prime is 205958933. The reversal of 205958928 is 829859502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223653 + ... + 224571.

It is an arithmetic number, because the mean of its divisors is an integer number (4106880).

Almost surely, 2^205958928 is an apocalyptic number.

205958928 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 205958928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

205958928 is an abundant number, since it is smaller than the sum of its proper divisors (451141872).

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

205958928 is a wasteful number, since it uses less digits than its factorization.

205958928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 205958928 is about 14351.2692121638. The cubic root of 205958928 is about 590.5548051400.

The spelling of 205958928 in words is "two hundred five million, nine hundred fifty-eight thousand, nine hundred twenty-eight".