| Base | Representation |
|---|---|
| bin | 111101010100011… |
| … | …011010010000000 |
| 3 | 2122200210200000000 |
| 4 | 331110123102000 |
| 5 | 4101330433200 |
| 6 | 250030000000 |
| 7 | 34331233200 |
| oct | 7524332200 |
| 9 | 2580720000 |
| 10 | 1028764800 |
| 11 | 488790248 |
| 12 | 248646000 |
| 13 | 13519bb8b |
| 14 | 9a8b8400 |
| 15 | 604b4300 |
| hex | 3d51b480 |
1028764800 has 648 divisors, whose sum is σ = 4434206985. Its totient is φ = 235146240.
The previous prime is 1028764787. The next prime is 1028764871. The reversal of 1028764800 is 84678201.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1028764800 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 648 + 0 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1008189504 + 20575296 = 31752^2 + 4536^2 .
It is a tau number, because it is divible by the number of its divisors (648).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=22680.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 80 ways as a sum of consecutive naturals, for example, 146966397 + ... + 146966403.
Almost surely, 21028764800 is an apocalyptic number.
1028764800 is a gapful number since it is divisible by the number (10) 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 1028764800
1028764800 is an abundant number, since it is smaller than the sum of its proper divisors (3405442185).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1028764800 is an frugal number, since it uses more digits than its factorization.
1028764800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The square root of 1028764800 is about 32074.3635946218. The cubic root of 1028764800 is about 1009.4977733768.
The spelling of 1028764800 in words is "one billion, twenty-eight million, seven hundred sixty-four thousand, eight hundred".
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