10353728 has 84 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 4012800.

The previous prime is 10353701. The next prime is 10353757. The reversal of 10353728 is 82735301.

10353728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10353728.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54113 + ... + 54303.

It is an arithmetic number, because the mean of its divisors is an integer number (308864).

Almost surely, 2^10353728 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 10353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

10353728 is an abundant number, since it is smaller than the sum of its proper divisors (15590848).

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

10353728 is a wasteful number, since it uses less digits than its factorization.

10353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10353728 is about 3217.7209325857. The cubic root of 10353728 is about 217.9543713947.

The spelling of 10353728 in words is "ten million, three hundred fifty-three thousand, seven hundred twenty-eight".