10611728 has 40 divisors (see below), whose sum is σ = 22007520. Its totient is φ = 4942080.

The previous prime is 10611701. The next prime is 10611749. The reversal of 10611728 is 82711601.

It is a super-2 number, since 2×10611728² = 225217542291968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10611697 and 10611706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20108 + ... + 20628.

It is an arithmetic number, because the mean of its divisors is an integer number (550188).

Almost surely, 2^10611728 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 10611728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003760).

10611728 is an abundant number, since it is smaller than the sum of its proper divisors (11395792).

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

10611728 is a wasteful number, since it uses less digits than its factorization.

10611728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 10611728 is about 3257.5647345832. The cubic root of 10611728 is about 219.7499086466.

The spelling of 10611728 in words is "ten million, six hundred eleven thousand, seven hundred twenty-eight".