38928384 has 144 divisors (see below), whose sum is σ = 125828640. Its totient is φ = 11796480.

The previous prime is 38928371. The next prime is 38928389. The reversal of 38928384 is 48382983.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (331776) is a multiple of the sum of its prime divisors (16).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (38928389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538939 + ... + 3538949.

It is an arithmetic number, because the mean of its divisors is an integer number (873810).

Almost surely, 2^38928384 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 38928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62914320).

38928384 is an abundant number, since it is smaller than the sum of its proper divisors (86900256).

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

38928384 is an frugal number, since it uses more digits than its factorization.

38928384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 16 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 38928384 is about 6239.2614947604. The cubic root of 38928384 is about 338.9134401913.

The spelling of 38928384 in words is "thirty-eight million, nine hundred twenty-eight thousand, three hundred eighty-four".