384187328 has 56 divisors (see below), whose sum is σ = 876495072. Its totient is φ = 163666944.

The previous prime is 384187303. The next prime is 384187367. The reversal of 384187328 is 823781483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 75026 + ... + 79982.

Almost surely, 2^384187328 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 384187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438247536).

384187328 is an abundant number, since it is smaller than the sum of its proper divisors (492307744).

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

384187328 is a wasteful number, since it uses less digits than its factorization.

384187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5139 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 384187328 is about 19600.6971304594. The cubic root of 384187328 is about 726.9664115179.

The spelling of 384187328 in words is "three hundred eighty-four million, one hundred eighty-seven thousand, three hundred twenty-eight".