| Base | Representation |
|---|---|
| bin | 1111010001111… |
| … | …10110000100000 |
| 3 | 22221012101110200 |
| 4 | 13220332300200 |
| 5 | 230303331303 |
| 6 | 20415225200 |
| 7 | 3114353220 |
| oct | 750766040 |
| 9 | 287171420 |
| 10 | 128183328 |
| 11 | 663a1039 |
| 12 | 36b18200 |
| 13 | 20730930 |
| 14 | 1304a080 |
| 15 | b3c03a3 |
| hex | 7a3ec20 |
128183328 has 288 divisors, whose sum is σ = 461575296. Its totient is φ = 32845824.
The previous prime is 128183327. The next prime is 128183333. The reversal of 128183328 is 823381821.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 128183292 and 128183301.
It is not an unprimeable number, because it can be changed into a prime (128183323) 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 47 ways as a sum of consecutive naturals, for example, 1755900 + ... + 1755972.
It is an arithmetic number, because the mean of its divisors is an integer number (1602692).
Almost surely, 2128183328 is an apocalyptic number.
128183328 is a gapful number since it is divisible by the number (18) 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 128183328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230787648).
128183328 is an abundant number, since it is smaller than the sum of its proper divisors (333391968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128183328 is a wasteful number, since it uses less digits than its factorization.
128183328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 165 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The square root of 128183328 is about 11321.8076295263. The cubic root of 128183328 is about 504.2089081046.
It can be divided in two parts, 128183 and 328, that multiplied together give a palindrome (42044024).
The spelling of 128183328 in words is "one hundred twenty-eight million, one hundred eighty-three thousand, three hundred twenty-eight".
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