11276128 has 36 divisors (see below), whose sum is σ = 23046660. Its totient is φ = 5430656.

The previous prime is 11276123. The next prime is 11276129. The reversal of 11276128 is 82167211.

It is a junction number, because it is equal to n+sod(n) for n = 11276096 and 11276105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11276123) 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, 26703 + ... + 27121.

It is an arithmetic number, because the mean of its divisors is an integer number (640185).

Almost surely, 2^11276128 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 11276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523330).

11276128 is an abundant number, since it is smaller than the sum of its proper divisors (11770532).

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

11276128 is an equidigital number, since it uses as much as digits as its factorization.

11276128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 450 counting only the distinct ones).

The product of its digits is 1344, while the sum is 28.

The square root of 11276128 is about 3357.9946396622. The cubic root of 11276128 is about 224.2435700881.

The spelling of 11276128 in words is "eleven million, two hundred seventy-six thousand, one hundred twenty-eight".