384265728 has 480 divisors, whose sum is σ = 1496689920. Its totient is φ = 94556160.

The previous prime is 384265727. The next prime is 384265733. The reversal of 384265728 is 827562483.

384265728 is a `hidden beast` number, since 38 + 42 + 6 + 572 + 8 = 666.

Its product of digits (645120) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384265727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20224503 + ... + 20224521.

It is an arithmetic number, because the mean of its divisors is an integer number (3118104).

Almost surely, 2^384265728 is an apocalyptic number.

384265728 is a gapful number since it is divisible by the number (38) 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 384265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748344960).

384265728 is an abundant number, since it is smaller than the sum of its proper divisors (1112424192).

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

384265728 is a wasteful number, since it uses less digits than its factorization.

384265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 384265728 is about 19602.6969573067. The cubic root of 384265728 is about 727.0158581343.

The spelling of 384265728 in words is "three hundred eighty-four million, two hundred sixty-five thousand, seven hundred twenty-eight".