10953728 has 44 divisors (see below), whose sum is σ = 23090160. Its totient is φ = 5179392.

The previous prime is 10953721. The next prime is 10953743. The reversal of 10953728 is 82735901.

It is not an unprimeable number, because it can be changed into a prime (10953721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19175 + ... + 19737.

Almost surely, 2^10953728 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 10953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545080).

10953728 is an abundant number, since it is smaller than the sum of its proper divisors (12136432).

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

10953728 is an equidigital number, since it uses as much as digits as its factorization.

10953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 10953728 is about 3309.6416724473. The cubic root of 10953728 is about 222.0857283277.

The spelling of 10953728 in words is "ten million, nine hundred fifty-three thousand, seven hundred twenty-eight".