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

bin | 110111011101000 |

3 | 1102221120 |

4 | 12323220 |

5 | 1402032 |

6 | 335240 |

7 | 145530 |

oct | 67350 |

9 | 42846 |

10 | 28392 |

11 | 1a371 |

12 | 14520 |

13 | cc00 |

14 | a4c0 |

15 | 862c |

hex | 6ee8 |

28392 has 48 divisors (see below), whose sum is σ = 87840. Its totient is φ = 7488.

The previous prime is 28387. The next prime is 28393. The reversal of 28392 is 29382.

It is a super-2 number, since 2×28392^{2} = 1612211328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (28393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2178 + ... + 2190.

It is an arithmetic number, because the mean of its divisors is an integer number (1830).

2^{28392} is an apocalyptic number.

It is a pronic number, being equal to 168×169.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43920).

28392 is an abundant number, since it is smaller than the sum of its proper divisors (59448).

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

28392 is a wasteful number, since it uses less digits than its factorization.

28392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 25 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 28392 is about 168.4992581586. The cubic root of 28392 is about 30.5069409985.

Subtracting 28392 from its reverse (29382), we obtain a triangular number (990 = T_{44}).

The spelling of 28392 in words is "twenty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4732 7098 9464 14196 28392

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