4163328 has 108 divisors (see below), whose sum is σ = 13020280. Its totient is φ = 1271808.

The previous prime is 4163297. The next prime is 4163329. The reversal of 4163328 is 8233614.

It is a happy number.

4163328 is a `hidden beast` number, since 4 + 1 + 633 + 28 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29883 + ... + 30021.

Almost surely, 2^4163328 is an apocalyptic number.

4163328 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 4163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510140).

4163328 is an abundant number, since it is smaller than the sum of its proper divisors (8856952).

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

4163328 is a wasteful number, since it uses less digits than its factorization.

4163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4163328 is about 2040.4234854559. The cubic root of 4163328 is about 160.8719066533.

The spelling of 4163328 in words is "four million, one hundred sixty-three thousand, three hundred twenty-eight".