| Base | Representation |
|---|---|
| bin | 10110110001111… |
| … | …100101000000000 |
| 3 | 222122011101001000 |
| 4 | 112301330220000 |
| 5 | 1240320122003 |
| 6 | 101531412000 |
| 7 | 12320402523 |
| oct | 2661745000 |
| 9 | 878141030 |
| 10 | 382192128 |
| 11 | 18681266a |
| 12 | a7bb4000 |
| 13 | 61247bb6 |
| 14 | 38a8abba |
| 15 | 238471a3 |
| hex | 16c7ca00 |
382192128 has 80 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 127392768.
The previous prime is 382192117. The next prime is 382192133. The reversal of 382192128 is 821291283.
382192128 is a nontrivial binomial coefficient, being equal to C(27648, 2).
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 382192092 and 382192101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 27647.
It is an arithmetic number, because the mean of its divisors is an integer number (14141952).
Almost surely, 2382192128 is an apocalyptic number.
382192128 is the 27647-th triangular number and also the 13824-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 382192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).
382192128 is an abundant number, since it is smaller than the sum of its proper divisors (749164032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382192128 is an equidigital number, since it uses as much as digits as its factorization.
382192128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27674 (or 27652 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 382192128 is about 19549.7347296581. The cubic root of 382192128 is about 725.7057751822.
It can be divided in two parts, 382 and 192128, that added together give a triangular number (192510 = T620).
The spelling of 382192128 in words is "three hundred eighty-two million, one hundred ninety-two thousand, one hundred twenty-eight".
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