128217320 has 192 divisors, whose sum is σ = 386596800. Its totient is φ = 37739520.

The previous prime is 128217319. The next prime is 128217343. The reversal of 128217320 is 23712821.

It is a super-2 number, since 2×128217320² = 32879362295964800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128217320.

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 47 ways as a sum of consecutive naturals, for example, 409484 + ... + 409796.

It is an arithmetic number, because the mean of its divisors is an integer number (2013525).

Almost surely, 2^128217320 is an apocalyptic number.

128217320 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 128217320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193298400).

128217320 is an abundant number, since it is smaller than the sum of its proper divisors (258379480).

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

128217320 is a wasteful number, since it uses less digits than its factorization.

128217320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 128217320 is about 11323.3087037314. The cubic root of 128217320 is about 504.2534733240.

The spelling of 128217320 in words is "one hundred twenty-eight million, two hundred seventeen thousand, three hundred twenty".