201591728 has 40 divisors (see below), whose sum is σ = 425733168. Its totient is φ = 91913472.

The previous prime is 201591727. The next prime is 201591737. The reversal of 201591728 is 827195102.

It is not an unprimeable number, because it can be changed into a prime (201591727) 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, 11426 + ... + 23102.

Almost surely, 2^201591728 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 201591728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212866584).

201591728 is an abundant number, since it is smaller than the sum of its proper divisors (224141440).

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

201591728 is a wasteful number, since it uses less digits than its factorization.

201591728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11781 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 201591728 is about 14198.3001799511. The cubic root of 201591728 is about 586.3508636653.

The spelling of 201591728 in words is "two hundred one million, five hundred ninety-one thousand, seven hundred twenty-eight".