There are many varieties of disorderly conduct charges. Usually these types of charges involve conduct that annoys the public, like loudly yelling in a residential area while stumbling home drunk, fighting with hallucinations while in public, peeing on a public sidewalk, doing donuts in a parking lot, fighting actual people, continually punching the air while advising passerbyers to not walk into your punches, just being overly loud in public, playing music loud during the night, and nearly anything else that goes beyond just annoying or embarrassing.
For the most part, the specific elements of a disorderly conduct charge will vary from state to state, but will require a finding of criminal intent. Additionally, they can sometimes be interchangeable with charges like disturbing the peace, or be more specifically charged as public intoxication, indecent exposure, or public nuisance, depending on the jurisdiction and specific conduct. While often the evidence doesn't look good to the alleged victims and suspects of disorderly conduct, these charges are far from a slam dunk for prosecutors and can be defended.