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27328 = 26761
BaseRepresentation
bin110101011000000
31101111011
412223000
51333303
6330304
7142450
oct65300
941434
1027328
1119594
1213994
13c592
149d60
15816d
hex6ac0

27328 has 28 divisors (see below), whose sum is σ = 62992. Its totient is φ = 11520.

The previous prime is 27299. The next prime is 27329. The reversal of 27328 is 82372.

It is a happy number.

27328 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 27299 and 27308.

It is not an unprimeable number, because it can be changed into a prime (27329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 418 + ... + 478.

227328 is an apocalyptic number.

27328 is a gapful number since it is divisible by the number (28) 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 27328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31496).

27328 is an abundant number, since it is smaller than the sum of its proper divisors (35664).

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

27328 is an equidigital number, since it uses as much as digits as its factorization.

27328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 27328 is about 165.3118265582. The cubic root of 27328 is about 30.1209928498.

The spelling of 27328 in words is "twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 6832 13664 27328