11814528 has 64 divisors (see below), whose sum is σ = 34247520. Its totient is φ = 3578880.

The previous prime is 11814521. The next prime is 11814533. The reversal of 11814528 is 82541811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11814495 and 11814504.

It is not an unprimeable number, because it can be changed into a prime (11814521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2826 + ... + 5622.

Almost surely, 2^11814528 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 11814528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123760).

11814528 is an abundant number, since it is smaller than the sum of its proper divisors (22432992).

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

11814528 is a wasteful number, since it uses less digits than its factorization.

11814528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2813 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 11814528 is about 3437.2267891427. The cubic root of 11814528 is about 227.7572053776.

The spelling of 11814528 in words is "eleven million, eight hundred fourteen thousand, five hundred twenty-eight".