384645128 has 48 divisors (see below), whose sum is σ = 875613120. Its totient is φ = 155144448.

The previous prime is 384645119. The next prime is 384645137. The reversal of 384645128 is 821546483.

It is an interprime number because it is at equal distance from previous prime (384645119) and next prime (384645137).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4301 + ... + 28067.

It is an arithmetic number, because the mean of its divisors is an integer number (18241940).

Almost surely, 2^384645128 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 384645128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437806560).

384645128 is an abundant number, since it is smaller than the sum of its proper divisors (490967992).

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

384645128 is a wasteful number, since it uses less digits than its factorization.

384645128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23814 (or 23793 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 384645128 is about 19612.3718096512. The cubic root of 384645128 is about 727.2550494605.

The spelling of 384645128 in words is "three hundred eighty-four million, six hundred forty-five thousand, one hundred twenty-eight".