11274128 has 40 divisors (see below), whose sum is σ = 23357880. Its totient is φ = 5253120.

The previous prime is 11274119. The next prime is 11274143. The reversal of 11274128 is 82147211.

It can be written as a sum of positive squares in 4 ways, for example, as 2226064 + 9048064 = 1492^2 + 3008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11274097 and 11274106.

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, 49118 + ... + 49346.

It is an arithmetic number, because the mean of its divisors is an integer number (583947).

Almost surely, 2^11274128 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 11274128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678940).

11274128 is an abundant number, since it is smaller than the sum of its proper divisors (12083752).

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

11274128 is a wasteful number, since it uses less digits than its factorization.

11274128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 11274128 is about 3357.6968296736. The cubic root of 11274128 is about 224.2303115872.

The spelling of 11274128 in words is "eleven million, two hundred seventy-four thousand, one hundred twenty-eight".