# 128 (number)

 ← 127 128 129 →
Cardinalone hundred twenty-eight
Ordinal128th
(one hundred twenty-eighth)
Factorization27
Divisors1, 2, 4, 8, 16, 32, 64, 128
Greek numeralΡΚΗ´
Roman numeralCXXVIII
Binary100000002
Ternary112023
Octal2008
DuodecimalA812

128 (one hundred [and] twenty-eight) is the natural number following 127 and preceding 129.

## In mathematics

128 is the seventh power of 2. It is the largest number which cannot be expressed as the sum of any number of distinct squares. But it is divisible by the total number of its divisors, making it a refactorable number.

The sum of Euler's totient function φ(x) over the first twenty integers is 128.

128 can be expressed by a combination of its digits with mathematical operators thus 128 = 28 - 1, making it a Friedman number in base 10.

A hepteract has 128 vertices.

128 is the only 3-digit number that is a 7th power (27).

## In bar codes

• Code 128 is a Uniform Symbology Specification (USS Code 128) alphanumeric bar code that encodes text, numbers, numerous functions, and designed to encode all 128 ASCII characters (ASCII 0 to ASCII 127), as used in the shipping industry.
• Subdivisions include:

## In other fields

One hundred [and] twenty-eight is also: