205268628 has 48 divisors (see below), whose sum is σ = 510289920. Its totient is φ = 64034784.

The previous prime is 205268603. The next prime is 205268633. The reversal of 205268628 is 826862502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13501 + ... + 24347.

It is an arithmetic number, because the mean of its divisors is an integer number (10631040).

Almost surely, 2^205268628 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 205268628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255144960).

205268628 is an abundant number, since it is smaller than the sum of its proper divisors (305021292).

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

205268628 is a wasteful number, since it uses less digits than its factorization.

205268628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 205268628 is about 14327.1988888268. The cubic root of 205268628 is about 589.8942911257.

The spelling of 205268628 in words is "two hundred five million, two hundred sixty-eight thousand, six hundred twenty-eight".