384848928 has 48 divisors (see below), whose sum is σ = 1122478560. Its totient is φ = 128282688.

The previous prime is 384848921. The next prime is 384848929. The reversal of 384848928 is 829848483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (384848921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221850 + ... + 223577.

It is an arithmetic number, because the mean of its divisors is an integer number (23384970).

Almost surely, 2^384848928 is an apocalyptic number.

It is an amenable number.

384848928 is an abundant number, since it is smaller than the sum of its proper divisors (737629632).

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

384848928 is a wasteful number, since it uses less digits than its factorization.

384848928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445446 (or 445432 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 384848928 is about 19617.5668216015. The cubic root of 384848928 is about 727.3834694849.

The spelling of 384848928 in words is "three hundred eighty-four million, eight hundred forty-eight thousand, nine hundred twenty-eight".