128082080 has 216 divisors, whose sum is σ = 385113204. Its totient is φ = 39997440.

The previous prime is 128082047. The next prime is 128082109. The reversal of 128082080 is 80280821.

It can be written as a sum of positive squares in 2 ways, for example, as 127328656 + 753424 = 11284^2 + 868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4131665 + ... + 4131695.

Almost surely, 2^128082080 is an apocalyptic number.

128082080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192556602).

128082080 is an abundant number, since it is smaller than the sum of its proper divisors (257031124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128082080 is a wasteful number, since it uses less digits than its factorization.

128082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 128082080 is about 11317.3353754318. The cubic root of 128082080 is about 504.0761201901.

The spelling of 128082080 in words is "one hundred twenty-eight million, eighty-two thousand, eighty".