20328 has 48 divisors (see below), whose sum is σ = 63840. Its totient is φ = 5280.

The previous prime is 20327. The next prime is 20333. The reversal of 20328 is 82302.

20328 is nontrivially palindromic in base 13.

20328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

20328 is an astonishing number since 20328 = 28 + ... + 203.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 20328.

It is not an unprimeable number, because it can be changed into a prime (20323) 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, 1843 + ... + 1853.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

2^{20328} is an apocalyptic number.

20328 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 20328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920).

20328 is an abundant number, since it is smaller than the sum of its proper divisors (43512).

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

20328 is a wasteful number, since it uses less digits than its factorization.

20328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20328 is about 142.5762953650. The cubic root of 20328 is about 27.2917604513.

It can be divided in two parts, 203 and 28, that added together give a triangular number (231 = T_{21}).

The spelling of 20328 in words is "twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328

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