384028533800 has 96 divisors (see below), whose sum is σ = 916038244800. Its totient is φ = 149670958080.

The previous prime is 384028533793. The next prime is 384028533803. The reversal of 384028533800 is 8335820483.

It is not an unprimeable number, because it can be changed into a prime (384028533803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189397 + ... + 1477403.

It is an arithmetic number, because the mean of its divisors is an integer number (9542065050).

Almost surely, 2^384028533800 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 384028533800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458019122400).

384028533800 is an abundant number, since it is smaller than the sum of its proper divisors (532009711000).

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

384028533800 is a wasteful number, since it uses less digits than its factorization.

384028533800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288195 (or 288186 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 384028533800 in words is "three hundred eighty-four billion, twenty-eight million, five hundred thirty-three thousand, eight hundred".