11348128 has 48 divisors (see below), whose sum is σ = 24687936. Its totient is φ = 5091840.

The previous prime is 11348107. The next prime is 11348147. The reversal of 11348128 is 82184311.

It is a junction number, because it is equal to n+sod(n) for n = 11348096 and 11348105.

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, 36100 + ... + 36412.

It is an arithmetic number, because the mean of its divisors is an integer number (514332).

Almost surely, 2^11348128 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 11348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343968).

11348128 is an abundant number, since it is smaller than the sum of its proper divisors (13339808).

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

11348128 is a wasteful number, since it uses less digits than its factorization.

11348128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 11348128 is about 3368.6982649089. The cubic root of 11348128 is about 224.7198356533.

It can be divided in two parts, 11348 and 128, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 11348128 in words is "eleven million, three hundred forty-eight thousand, one hundred twenty-eight".