| Base | Representation |
|---|---|
| bin | 11001100001010… |
| … | …011110001000000 |
| 3 | 1002211122220000000 |
| 4 | 121201103301000 |
| 5 | 1334102141422 |
| 6 | 110253000000 |
| 7 | 13416214020 |
| oct | 3141236100 |
| 9 | 1084586000 |
| 10 | 428162112 |
| 11 | 1aa760594 |
| 12 | bb483000 |
| 13 | 6a921b81 |
| 14 | 40c15a80 |
| 15 | 278c7cac |
| hex | 19853c40 |
428162112 has 448 divisors, whose sum is σ = 1599590400. Its totient is φ = 110854656.
The previous prime is 428162107. The next prime is 428162123. The reversal of 428162112 is 211261824.
428162112 is a `hidden beast` number, since 4 + 28 + 1 + 621 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-3 number, since 3×4281621123 (a number of 27 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
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 (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18615733 + ... + 18615755.
Almost surely, 2428162112 is an apocalyptic number.
428162112 is a gapful number since it is divisible by the number (42) 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 428162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799795200).
428162112 is an abundant number, since it is smaller than the sum of its proper divisors (1171428288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428162112 is an equidigital number, since it uses as much as digits as its factorization.
428162112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82 (or 54 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 428162112 is about 20692.0784842896. The cubic root of 428162112 is about 753.7073399781.
The spelling of 428162112 in words is "four hundred twenty-eight million, one hundred sixty-two thousand, one hundred twelve".
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