384443328 has 56 divisors (see below), whose sum is σ = 1018649728. Its totient is φ = 127961856.

The previous prime is 384443317. The next prime is 384443329. The reversal of 384443328 is 823344483.

It is a super-3 number, since 3×384443328³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384443329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214725 + ... + 216507.

Almost surely, 2^384443328 is an apocalyptic number.

It is an amenable number.

384443328 is an abundant number, since it is smaller than the sum of its proper divisors (634206400).

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

384443328 is a wasteful number, since it uses less digits than its factorization.

384443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2911 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 384443328 is about 19607.2264229289. The cubic root of 384443328 is about 727.1278449879.

The spelling of 384443328 in words is "three hundred eighty-four million, four hundred forty-three thousand, three hundred twenty-eight".