4116288 has 56 divisors (see below), whose sum is σ = 11887200. Its totient is φ = 1246720.

The previous prime is 4116271. The next prime is 4116311. The reversal of 4116288 is 8826114.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1138 + ... + 3086.

Almost surely, 2^4116288 is an apocalyptic number.

4116288 is a gapful number since it is divisible by the number (48) 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 4116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943600).

4116288 is an abundant number, since it is smaller than the sum of its proper divisors (7770912).

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

4116288 is a wasteful number, since it uses less digits than its factorization.

4116288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1965 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 4116288 is about 2028.8637213968. The cubic root of 4116288 is about 160.2637317127.

The spelling of 4116288 in words is "four million, one hundred sixteen thousand, two hundred eighty-eight".