384073728 has 64 divisors (see below), whose sum is σ = 1024443120. Its totient is φ = 127991808.

The previous prime is 384073699. The next prime is 384073763. The reversal of 384073728 is 827370483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 384073728.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96351 + ... + 100257.

Almost surely, 2^384073728 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 384073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512221560).

384073728 is an abundant number, since it is smaller than the sum of its proper divisors (640369392).

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

384073728 is an frugal number, since it uses more digits than its factorization.

384073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 384073728 is about 19597.7990600986. The cubic root of 384073728 is about 726.8947524432.

The spelling of 384073728 in words is "three hundred eighty-four million, seventy-three thousand, seven hundred twenty-eight".