4113288 has 64 divisors (see below), whose sum is σ = 11592000. Its totient is φ = 1351296.

The previous prime is 4113259. The next prime is 4113311. The reversal of 4113288 is 8823114.

4113288 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29523 + ... + 29661.

It is an arithmetic number, because the mean of its divisors is an integer number (181125).

Almost surely, 2^4113288 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 4113288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796000).

4113288 is an abundant number, since it is smaller than the sum of its proper divisors (7478712).

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

4113288 is a wasteful number, since it uses less digits than its factorization.

4113288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

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

The square root of 4113288 is about 2028.1242565484. The cubic root of 4113288 is about 160.2247882079.

The spelling of 4113288 in words is "four million, one hundred thirteen thousand, two hundred eighty-eight".