128428224 has 56 divisors (see below), whose sum is σ = 343936320. Its totient is φ = 42288384.

The previous prime is 128428207. The next prime is 128428253. The reversal of 128428224 is 422824821.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 11907 + ... + 19965.

It is an arithmetic number, because the mean of its divisors is an integer number (6141720).

Almost surely, 2^128428224 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 128428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171968160).

128428224 is an abundant number, since it is smaller than the sum of its proper divisors (215508096).

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

128428224 is an equidigital number, since it uses as much as digits as its factorization.

128428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8147 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 128428224 is about 11332.6177028964. The cubic root of 128428224 is about 504.5298031697.

The spelling of 128428224 in words is "one hundred twenty-eight million, four hundred twenty-eight thousand, two hundred twenty-four".