Base | Representation |
---|---|

bin | 110110110110000 |

3 | 1102112000 |

4 | 12312300 |

5 | 1344310 |

6 | 334000 |

7 | 144603 |

oct | 66660 |

9 | 42460 |

10 | 28080 |

11 | 1a108 |

12 | 14300 |

13 | ca20 |

14 | a33a |

15 | 84c0 |

hex | 6db0 |

28080 has 80 divisors (see below), whose sum is σ = 104160. Its totient is φ = 6912.

The previous prime is 28069. The next prime is 28081. The reversal of 28080 is 8082.

28080 is nontrivially palindromic in base 14.

28080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 8 and base 13.

It is not an unprimeable number, because it can be changed into a prime (28081) by changing a digit.

28080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154 + ... + 2166.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2^{28080} is an apocalyptic number.

28080 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 28080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

28080 is an abundant number, since it is smaller than the sum of its proper divisors (76080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28080 is a wasteful number, since it uses less digits than its factorization.

28080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 28080 is about 167.5708805252. The cubic root of 28080 is about 30.3947821146.

The spelling of 28080 in words is "twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080

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