| Base | Representation |
|---|---|
| bin | 1100011110110110101… |
| … | …11101100000110100000 |
| 3 | 1112000000112111021010000 |
| 4 | 12033123113230012200 |
| 5 | 24011322314320220 |
| 6 | 525005321340000 |
| 7 | 42662046254616 |
| oct | 6173327540640 |
| 9 | 1460015437100 |
| 10 | 428882182560 |
| 11 | 1559848a1667 |
| 12 | 6b153937600 |
| 13 | 3159c2548b0 |
| 14 | 16a87d916b6 |
| 15 | b25231c390 |
| hex | 63db5ec1a0 |
428882182560 has 960 divisors, whose sum is σ = 1740099648672. Its totient is φ = 98545434624.
The previous prime is 428882182541. The next prime is 428882182567. The reversal of 428882182560 is 65281288824.
428882182560 is a `hidden beast` number, since 428 + 8 + 82 + 1 + 82 + 5 + 60 = 666.
428882182560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 157186875024 + 271695307536 = 396468^2 + 521244^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 428882182497 and 428882182506.
It is not an unprimeable number, because it can be changed into a prime (428882182567) by changing a digit.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 392389374 + ... + 392390466.
Almost surely, 2428882182560 is an apocalyptic number.
428882182560 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 428882182560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870049824336).
428882182560 is an abundant number, since it is smaller than the sum of its proper divisors (1311217466112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428882182560 is a wasteful number, since it uses less digits than its factorization.
428882182560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1287 (or 1270 counting only the distinct ones).
The product of its (nonzero) digits is 3932160, while the sum is 54.
The spelling of 428882182560 in words is "four hundred twenty-eight billion, eight hundred eighty-two million, one hundred eighty-two thousand, five hundred sixty".
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