11728024 has 64 divisors (see below), whose sum is σ = 27878400. Its totient is φ = 4492800.

The previous prime is 11728021. The next prime is 11728033. The reversal of 11728024 is 42082711.

It is a happy number.

11728024 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 11728024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11728021) 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, 48544 + ... + 48784.

It is an arithmetic number, because the mean of its divisors is an integer number (435600).

Almost surely, 2^11728024 is an apocalyptic number.

11728024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11728024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939200).

11728024 is an abundant number, since it is smaller than the sum of its proper divisors (16150376).

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

11728024 is a wasteful number, since it uses less digits than its factorization.

11728024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 11728024 is about 3424.6202709206. The cubic root of 11728024 is about 227.1999764432.

The spelling of 11728024 in words is "eleven million, seven hundred twenty-eight thousand, twenty-four".