11728064 has 56 divisors (see below), whose sum is σ = 24688800. Its totient is φ = 5519360.

The previous prime is 11728061. The next prime is 11728099. The reversal of 11728064 is 46082711.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (11728061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131732 + ... + 131820.

Almost surely, 2^11728064 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 11728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12344400).

11728064 is an abundant number, since it is smaller than the sum of its proper divisors (12960736).

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

11728064 is an equidigital number, since it uses as much as digits as its factorization.

11728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11728064 is about 3424.6261109791. The cubic root of 11728064 is about 227.2002347415.

The spelling of 11728064 in words is "eleven million, seven hundred twenty-eight thousand, sixty-four".