11248128 has 60 divisors (see below), whose sum is σ = 32476158. Its totient is φ = 3747840.

The previous prime is 11248123. The next prime is 11248147. The reversal of 11248128 is 82184211.

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 278784 = 3312^2 + 528^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11248123) 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, 3388 + ... + 5828.

Almost surely, 2^11248128 is an apocalyptic number.

11248128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238079).

11248128 is an abundant number, since it is smaller than the sum of its proper divisors (21228030).

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

11248128 is an equidigital number, since it uses as much as digits as its factorization.

11248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2446 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 11248128 is about 3353.8228933562. The cubic root of 11248128 is about 224.0578082093.

The spelling of 11248128 in words is "eleven million, two hundred forty-eight thousand, one hundred twenty-eight".