11641728 has 128 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 3225600.

The previous prime is 11641727. The next prime is 11641733. The reversal of 11641728 is 82714611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11641695 and 11641704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163933 + ... + 164003.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^11641728 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 11641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

11641728 is an abundant number, since it is smaller than the sum of its proper divisors (24784512).

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

11641728 is an equidigital number, since it uses as much as digits as its factorization.

11641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 11641728 is about 3411.9976553333. The cubic root of 11641728 is about 226.6413504982.

The spelling of 11641728 in words is "eleven million, six hundred forty-one thousand, seven hundred twenty-eight".