201305728 has 32 divisors (see below), whose sum is σ = 431891460. Its totient is φ = 92909568.

The previous prime is 201305719. The next prime is 201305737. The reversal of 201305728 is 827503102.

It is an interprime number because it is at equal distance from previous prime (201305719) and next prime (201305737).

It can be written as a sum of positive squares in 2 ways, for example, as 182574144 + 18731584 = 13512^2 + 4328^2 .

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

It is a super-2 number, since 2×201305728² = 81047992251219968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201305696 and 201305705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58825 + ... + 62152.

Almost surely, 2^201305728 is an apocalyptic number.

It is an amenable number.

201305728 is an abundant number, since it is smaller than the sum of its proper divisors (230585732).

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

201305728 is a wasteful number, since it uses less digits than its factorization.

201305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121004 (or 120992 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 201305728 is about 14188.2249770717. The cubic root of 201305728 is about 586.0734453484.

The spelling of 201305728 in words is "two hundred one million, three hundred five thousand, seven hundred twenty-eight".