11628144 has 80 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 3522240.

The previous prime is 11628121. The next prime is 11628151. The reversal of 11628144 is 44182611.

It is a happy number.

11628144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3529 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (455328).

Almost surely, 2^11628144 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 11628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

11628144 is an abundant number, since it is smaller than the sum of its proper divisors (24798096).

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

11628144 is a wasteful number, since it uses less digits than its factorization.

11628144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2463 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11628144 is about 3410.0064516068. The cubic root of 11628144 is about 226.5531650121.

The spelling of 11628144 in words is "eleven million, six hundred twenty-eight thousand, one hundred forty-four".