11824128 has 66 divisors (see below), whose sum is σ = 34168524. Its totient is φ = 3938304.

The previous prime is 11824121. The next prime is 11824133. The reversal of 11824128 is 82142811.

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 not an unprimeable number, because it can be changed into a prime (11824121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8575 + ... + 9857.

Almost surely, 2^11824128 is an apocalyptic number.

11824128 is a gapful number since it is divisible by the number (18) 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 11824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084262).

11824128 is an abundant number, since it is smaller than the sum of its proper divisors (22344396).

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

11824128 is a wasteful number, since it uses less digits than its factorization.

11824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1288 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 11824128 is about 3438.6229802059. The cubic root of 11824128 is about 227.8188773921.

Adding to 11824128 its reverse (82142811), we get a palindrome (93966939).

The spelling of 11824128 in words is "eleven million, eight hundred twenty-four thousand, one hundred twenty-eight".