9035728 has 20 divisors (see below), whose sum is σ = 18853828. Its totient is φ = 4170240.

The previous prime is 9035723. The next prime is 9035729. The reversal of 9035728 is 8275309.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 6927424 = 1452^2 + 2632^2 .

It is a d-powerful number, because it can be written as 9⁶ + 0 + 3¹² + 5⁷ + 7⁸ + 2²¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 9035693 and 9035702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9035723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21513 + ... + 21928.

Almost surely, 2^9035728 is an apocalyptic number.

It is an amenable number.

9035728 is an abundant number, since it is smaller than the sum of its proper divisors (9818100).

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

9035728 is a wasteful number, since it uses less digits than its factorization.

9035728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43462 (or 43456 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 9035728 is about 3005.9487686918. The cubic root of 9035728 is about 208.2832678984.

The spelling of 9035728 in words is "nine million, thirty-five thousand, seven hundred twenty-eight".