128084128 has 24 divisors (see below), whose sum is σ = 252432180. Its totient is φ = 63974400.

The previous prime is 128084119. The next prime is 128084129. The reversal of 128084128 is 821480821.

It can be written as a sum of positive squares in 2 ways, for example, as 119858704 + 8225424 = 10948^2 + 2868^2 .

It is a super-3 number, since 3×128084128³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128084093 and 128084102.

It is not an unprimeable number, because it can be changed into a prime (128084129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44328 + ... + 47128.

Almost surely, 2^128084128 is an apocalyptic number.

It is an amenable number.

128084128 is a deficient number, since it is larger than the sum of its proper divisors (124348052).

128084128 is a wasteful number, since it uses less digits than its factorization.

128084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 128084128 is about 11317.4258557324. The cubic root of 128084128 is about 504.0788068589.

The spelling of 128084128 in words is "one hundred twenty-eight million, eighty-four thousand, one hundred twenty-eight".