| Base | Representation |
|---|---|
| bin | 11001100010111… |
| … | …010001001000000 |
| 3 | 1002212110012012200 |
| 4 | 121202322021000 |
| 5 | 1334204101230 |
| 6 | 110305553200 |
| 7 | 13422611400 |
| oct | 3142721100 |
| 9 | 1085405180 |
| 10 | 428581440 |
| 11 | 1aaa17641 |
| 12 | bb645800 |
| 13 | 6aa3a9b1 |
| 14 | 40cc4800 |
| 15 | 2795c160 |
| hex | 198ba240 |
428581440 has 252 divisors, whose sum is σ = 1715382396. Its totient is φ = 97929216.
The previous prime is 428581421. The next prime is 428581451. The reversal of 428581440 is 44185824.
It can be written as a sum of positive squares in 2 ways, for example, as 265559616 + 163021824 = 16296^2 + 12768^2 .
It is a tau number, because it is divible by the number of its divisors (252).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 428581395 and 428581404.
It is a congruent number.
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 35 ways as a sum of consecutive naturals, for example, 139602 + ... + 142638.
It is an arithmetic number, because the mean of its divisors is an integer number (6807073).
Almost surely, 2428581440 is an apocalyptic number.
428581440 is a gapful number since it is divisible by the number (40) 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 428581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857691198).
428581440 is an abundant number, since it is smaller than the sum of its proper divisors (1286800956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428581440 is a wasteful number, since it uses less digits than its factorization.
428581440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3074 (or 3054 counting only the distinct ones).
The product of its (nonzero) digits is 40960, while the sum is 36.
The square root of 428581440 is about 20702.2085778305. The cubic root of 428581440 is about 753.9533118208.
The spelling of 428581440 in words is "four hundred twenty-eight million, five hundred eighty-one thousand, four hundred forty".
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