11128248 has 48 divisors (see below), whose sum is σ = 30401280. Its totient is φ = 3677184.

The previous prime is 11128241. The next prime is 11128259. The reversal of 11128248 is 84282111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11128241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8536 + ... + 9752.

It is an arithmetic number, because the mean of its divisors is an integer number (633360).

Almost surely, 2^11128248 is an apocalyptic number.

11128248 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 11128248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200640).

11128248 is an abundant number, since it is smaller than the sum of its proper divisors (19273032).

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

11128248 is a wasteful number, since it uses less digits than its factorization.

11128248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

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

The square root of 11128248 is about 3335.9028762840. The cubic root of 11128248 is about 223.2589777471.

The spelling of 11128248 in words is "eleven million, one hundred twenty-eight thousand, two hundred forty-eight".