11818128 has 80 divisors (see below), whose sum is σ = 36961920. Its totient is φ = 3176448.

The previous prime is 11818097. The next prime is 11818139. The reversal of 11818128 is 82181811.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11818095 and 11818104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4678 + ... + 6746.

It is an arithmetic number, because the mean of its divisors is an integer number (462024).

Almost surely, 2^11818128 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 11818128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960).

11818128 is an abundant number, since it is smaller than the sum of its proper divisors (25143792).

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

11818128 is a wasteful number, since it uses less digits than its factorization.

11818128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2098 counting only the distinct ones).

The product of its digits is 1024, while the sum is 30.

The square root of 11818128 is about 3437.7504272416. The cubic root of 11818128 is about 227.7803362966.

Adding to 11818128 its reverse (82181811), we get a palindrome (93999939).

The spelling of 11818128 in words is "eleven million, eight hundred eighteen thousand, one hundred twenty-eight".