38828 has 12 divisors (see below), whose sum is σ = 72072. Its totient is φ = 18240.

The previous prime is 38821. The next prime is 38833. The reversal of 38828 is 82883.

It is a super-2 number, since 2×38828² = 3015227168, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 38828.

It is not an unprimeable number, because it can be changed into a prime (38821) by changing a digit.

38828 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, 218 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2³⁸⁸²⁸ is an apocalyptic number.

It is an amenable number.

38828 is a deficient number, since it is larger than the sum of its proper divisors (33244).

38828 is a wasteful number, since it uses less digits than its factorization.

38828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 38828 is about 197.0482174494. The cubic root of 38828 is about 33.8621872541.

The spelling of 38828 in words is "thirty-eight thousand, eight hundred twenty-eight".