11128128 has 84 divisors (see below), whose sum is σ = 32430720. Its totient is φ = 3365120.

The previous prime is 11128111. The next prime is 11128133. The reversal of 11128128 is 82182111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 11128098 and 11128107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22993 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (386080).

Almost surely, 2^11128128 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 11128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215360).

11128128 is an abundant number, since it is smaller than the sum of its proper divisors (21302592).

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

11128128 is a wasteful number, since it uses less digits than its factorization.

11128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The square root of 11128128 is about 3335.8848901004. The cubic root of 11128128 is about 223.2581752496.

The spelling of 11128128 in words is "eleven million, one hundred twenty-eight thousand, one hundred twenty-eight".