128034504 has 96 divisors (see below), whose sum is σ = 383630520. Its totient is φ = 38320128.

The previous prime is 128034499. The next prime is 128034523. The reversal of 128034504 is 405430821.

128034504 is a `hidden beast` number, since 128 + 0 + 34 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87048900 + 40985604 = 9330^2 + 6402^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32784 + ... + 36480.

Almost surely, 2^128034504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128034504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191815260).

128034504 is an abundant number, since it is smaller than the sum of its proper divisors (255596016).

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

128034504 is a wasteful number, since it uses less digits than its factorization.

128034504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 128034504 is about 11315.2332720099. The cubic root of 128034504 is about 504.0136995520.

The spelling of 128034504 in words is "one hundred twenty-eight million, thirty-four thousand, five hundred four".