128218320 has 120 divisors (see below), whose sum is σ = 442329576. Its totient is φ = 33260544.

The previous prime is 128218313. The next prime is 128218331. The reversal of 128218320 is 23812821.

128218320 is a `hidden beast` number, since 128 + 218 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50637456 + 77580864 = 7116^2 + 8808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 24234 + ... + 29046.

Almost surely, 2^128218320 is an apocalyptic number.

128218320 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 128218320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221164788).

128218320 is an abundant number, since it is smaller than the sum of its proper divisors (314111256).

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

128218320 is a wasteful number, since it uses less digits than its factorization.

128218320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128218320 is about 11323.3528603502. The cubic root of 128218320 is about 504.2547842550.

The spelling of 128218320 in words is "one hundred twenty-eight million, two hundred eighteen thousand, three hundred twenty".