This may have nothing to do with your server/site, I have seen this many times when the PC is infected, not the website.
do you have a server? or just a website hosted with someone?
you can use an ftp client to see if or any new files are present and owned by someone other than the user, if so, a tell tale sign is a weird file name or a numbered file. Apache will write a legit file under some circumstances, but also a hacker will use Apache to write malicious files as well.
I have never seen DA server hacked, but have seen many sites hacked, its always an open folder/file that is accessible, scripts like WordPress and forums are great targets, an occasional e-commerce site too, as soon as someone finds an exploit, the hacker go on a field trip.
I LIKE DA because unlike cPanel, its very difficult to take the server at root level, and the DA team stays way on top of security issues and are very friendly and helpful, unlike some of those other control panel people
Sorry if I seem a little biased !!!