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

bin | 110111000000111 |

3 | 1102122020 |

4 | 12320013 |

5 | 1400132 |

6 | 334223 |

7 | 145056 |

oct | 67007 |

9 | 42566 |

10 | 28167 |

11 | 1a187 |

12 | 14373 |

13 | ca89 |

14 | a39d |

15 | 852c |

hex | 6e07 |

28167 has 8 divisors (see below), whose sum is σ = 38640. Its totient is φ = 18240.

The previous prime is 28163. The next prime is 28181. The reversal of 28167 is 76182.

28167 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 28167 - 2^{2} = 28163 is a prime.

It is an Ulam number.

28167 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (4830).

2^{28167} is an apocalyptic number.

28167 is a deficient number, since it is larger than the sum of its proper divisors (10473).

28167 is a wasteful number, since it uses less digits than its factorization.

28167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273.

The product of its digits is 672, while the sum is 24.

The square root of 28167 is about 167.8302714054. The cubic root of 28167 is about 30.4261403738.

Subtracting from 28167 its product of digits (672), we obtain a triangular number (27495 = T_{234}).

The spelling of 28167 in words is "twenty-eight thousand, one hundred sixty-seven".

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