11009128 has 32 divisors (see below), whose sum is σ = 22838760. Its totient is φ = 4942080.

The previous prime is 11009087. The next prime is 11009137. The reversal of 11009128 is 82190011.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 1162084 = 3138^2 + 1078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11009099 and 11009108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2418 + ... + 5278.

Almost surely, 2^11009128 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 11009128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419380).

11009128 is an abundant number, since it is smaller than the sum of its proper divisors (11829632).

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

11009128 is a wasteful number, since it uses less digits than its factorization.

11009128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 11009128 is about 3318.0006027727. Note that the first 3 decimals coincide. The cubic root of 11009128 is about 222.4595086861.

Adding to 11009128 its reverse (82190011), we get a palindrome (93199139).

The spelling of 11009128 in words is "eleven million, nine thousand, one hundred twenty-eight".