383328 has 72 divisors (see below), whose sum is σ = 1199016. Its totient is φ = 116160.

The previous prime is 383321. The next prime is 383347. The reversal of 383328 is 823383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (3456) is a multiple of the sum of its prime divisors (16).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 383328.

It is not an unprimeable number, because it can be changed into a prime (383321) by changing a digit.

383328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34843 + ... + 34853.

It is an arithmetic number, because the mean of its divisors is an integer number (16653).

2³⁸³³²⁸ 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 383328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599508).

383328 is an abundant number, since it is smaller than the sum of its proper divisors (815688).

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

383328 is a wasteful number, since it uses less digits than its factorization.

383328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 16 counting only the distinct ones).

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

The square root of 383328 is about 619.1348802967. The cubic root of 383328 is about 72.6423994757.

The spelling of 383328 in words is "three hundred eighty-three thousand, three hundred twenty-eight".