The Stargate was found in 1928, and in Cheyenne mountain, the Stargate is on the 28th floor.
Is this a coincidence, or intentional? Is there any significance to this use of the number 28?
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The number 28 is special neither in Egyptian nor in Norse mythology, the two main sources for inspiration in the Stargate franchise.
2, 3, 4, 7, and their multiples and sums.
As sacred or special.
But the article only mentions 28 as the maximum number of cubits the Nile could flood, so that particular multiple (28) doesn't seem special.
Likewise in Norse mythology:
appears to put special emphasis on the number nine. Along with the number 27
But besides 28 being one off of 27, there's no mention.
Also, I couldn't find any other references to 28 in the Stargate Fandom Wiki, and the two instances you found seem unrelated (i.e. it's not a set of dates, or a set of floor numbers.)