| Base | Representation |
|---|---|
| bin | 1010001010011100… |
| … | …0000100001000000 |
| 3 | 21001010110121021200 |
| 4 | 2202213000201000 |
| 5 | 21041400302340 |
| 6 | 1130413221200 |
| 7 | 124414522353 |
| oct | 24247004100 |
| 9 | 7033417250 |
| 10 | 2728134720 |
| 11 | 117aa62aa3 |
| 12 | 641791800 |
| 13 | 3462876cc |
| 14 | 1bc47829a |
| 15 | 10e791330 |
| hex | a29c0840 |
2728134720 has 336 divisors, whose sum is σ = 9750594672. Its totient is φ = 699678720.
The previous prime is 2728134707. The next prime is 2728134733. The reversal of 2728134720 is 274318272.
It is an interprime number because it is at equal distance from previous prime (2728134707) and next prime (2728134733).
It can be written as a sum of positive squares in 8 ways, for example, as 788544 + 2727346176 = 888^2 + 52224^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9310894 + ... + 9311186.
It is an arithmetic number, because the mean of its divisors is an integer number (29019627).
Almost surely, 22728134720 is an apocalyptic number.
2728134720 is a gapful number since it is divisible by the number (20) 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 2728134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875297336).
2728134720 is an abundant number, since it is smaller than the sum of its proper divisors (7022459952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2728134720 is a wasteful number, since it uses less digits than its factorization.
2728134720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 430 (or 417 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 2728134720 is about 52231.5490867349. The cubic root of 2728134720 is about 1397.2966062481.
It can be divided in two parts, 27281 and 34720, that added together give a square (62001 = 2492).
The spelling of 2728134720 in words is "two billion, seven hundred twenty-eight million, one hundred thirty-four thousand, seven hundred twenty".
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