11648128 has 64 divisors (see below), whose sum is σ = 25281720. Its totient is φ = 5324800.

The previous prime is 11648123. The next prime is 11648149. The reversal of 11648128 is 82184611.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 304704 = 3368^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11648128.

It is not an unprimeable number, because it can be changed into a prime (11648123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115278 + ... + 115378.

Almost surely, 2^11648128 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 11648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640860).

11648128 is an abundant number, since it is smaller than the sum of its proper divisors (13633592).

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

11648128 is a wasteful number, since it uses less digits than its factorization.

11648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 11648128 is about 3412.9353934700. The cubic root of 11648128 is about 226.6828746580.

The spelling of 11648128 in words is "eleven million, six hundred forty-eight thousand, one hundred twenty-eight".