205352928 has 384 divisors, whose sum is σ = 731566080. Its totient is φ = 55296000.

The previous prime is 205352921. The next prime is 205352933. The reversal of 205352928 is 829253502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205352892 and 205352901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205352921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5008588 + ... + 5008628.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^205352928 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 205352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

205352928 is an abundant number, since it is smaller than the sum of its proper divisors (526213152).

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

205352928 is a wasteful number, since it uses less digits than its factorization.

205352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 205352928 is about 14330.1405436234. The cubic root of 205352928 is about 589.9750329375.

The spelling of 205352928 in words is "two hundred five million, three hundred fifty-two thousand, nine hundred twenty-eight".