384038028 has 108 divisors (see below), whose sum is σ = 1076779704. Its totient is φ = 115315200.

The previous prime is 384038027. The next prime is 384038033. The reversal of 384038028 is 820830483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384037983 and 384038001.

It is not an unprimeable number, because it can be changed into a prime (384038023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570300 + ... + 570972.

Almost surely, 2^384038028 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 384038028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538389852).

384038028 is an abundant number, since it is smaller than the sum of its proper divisors (692741676).

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

384038028 is a wasteful number, since it uses less digits than its factorization.

384038028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384038028 is about 19596.8882223684. Note that the first 3 decimals coincide. The cubic root of 384038028 is about 726.8722299040.

The spelling of 384038028 in words is "three hundred eighty-four million, thirty-eight thousand, twenty-eight".