384928992 has 144 divisors (see below), whose sum is σ = 1281807072. Its totient is φ = 107274240.

The previous prime is 384928967. The next prime is 384928993. The reversal of 384928992 is 299829483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (384928993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80328 + ... + 84984.

It is an arithmetic number, because the mean of its divisors is an integer number (8901438).

Almost surely, 2^384928992 is an apocalyptic number.

384928992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384928992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640903536).

384928992 is an abundant number, since it is smaller than the sum of its proper divisors (896878080).

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

384928992 is a wasteful number, since it uses less digits than its factorization.

384928992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4710 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 384928992 is about 19619.6073355202. The cubic root of 384928992 is about 727.4339076246.

The spelling of 384928992 in words is "three hundred eighty-four million, nine hundred twenty-eight thousand, nine hundred ninety-two".