128404128 has 192 divisors, whose sum is σ = 388644480. Its totient is φ = 36864000.

The previous prime is 128404123. The next prime is 128404163. The reversal of 128404128 is 821404821.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128404095 and 128404104.

It is not an unprimeable number, because it can be changed into a prime (128404123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1271278 + ... + 1271378.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^128404128 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 128404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194322240).

128404128 is an abundant number, since it is smaller than the sum of its proper divisors (260240352).

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

128404128 is a wasteful number, since it uses less digits than its factorization.

128404128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 128404128 is about 11331.5545270717. The cubic root of 128404128 is about 504.4982475138.

Adding to 128404128 its reverse (821404821), we get a palindrome (949808949).

The spelling of 128404128 in words is "one hundred twenty-eight million, four hundred four thousand, one hundred twenty-eight".