Adding to 8128 its product of digits (128), we get a triangular number (8256 = T128).
Subtracting from 8128 its product of digits (128), we obtain a cube (8000 = 203).
It is a happy number.
It is a harmonic number, since the harmonic mean of its divisors is an integer.
It is a nude number because it is divisible by every one of its digits.
It is an Ulam number.
It is a nialpdrome in base 2.
It is a zygodrome in base 2.
It is a congruent number.
28128 is an apocalyptic number.
8128 is the 43-rd centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128).
8128 is a perfect number, since it is equal to the sum of its proper divisors.
8128 is a wasteful number, since it uses less digits than its factorization.
8128 is an odious number, because the sum of its binary digits is odd.
The square root of 8128 is about 90.1554213567. The cubic root of 8128 is about 20.1061027813.
The spelling of 8128 in words is "eight thousand, one hundred twenty-eight".