38328 has 16 divisors (see below), whose sum is σ = 95880. Its totient is φ = 12768.

The previous prime is 38327. The next prime is 38329. The reversal of 38328 is 82383.

38328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38327) and next prime (38329).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1597 = 38328 / (3 + 8 + 3 + 2 + 8).

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 38298 and 38307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 775 + ... + 822.

2³⁸³²⁸ is an apocalyptic number.

It is an amenable number.

38328 is an abundant number, since it is smaller than the sum of its proper divisors (57552).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47940).

38328 is a wasteful number, since it uses less digits than its factorization.

38328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1602 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 38328 is about 195.7753814962. The cubic root of 38328 is about 33.7162076031.

The spelling of 38328 in words is "thirty-eight thousand, three hundred twenty-eight".