38028 has 12 divisors (see below), whose sum is σ = 88760. Its totient is φ = 12672.

The previous prime is 38011. The next prime is 38039. The reversal of 38028 is 82083.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×38028² = 2892257568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37995 and 38013.

It is an unprimeable number.

38028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1573 + ... + 1596.

2³⁸⁰²⁸ is an apocalyptic number.

It is an amenable number.

38028 is an abundant number, since it is smaller than the sum of its proper divisors (50732).

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 (44380).

38028 is a wasteful number, since it uses less digits than its factorization.

38028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38028 is about 195.0076921560. The cubic root of 38028 is about 33.6280095241.

The spelling of 38028 in words is "thirty-eight thousand, twenty-eight".