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9828 = 2233713

9828 has 48 divisors (see below), whose sum is σ = 31360. Its totient is φ = 2592.

The previous prime is 9817. The next prime is 9829. The reversal of 9828 is 8289.

Subtracting from 9828 its sum of digits (27), we obtain a square (9801 = 992).

Multipling 9828 by its sum of digits (27), we get a triangular number (265356 = T728).

It can be divided in two parts, 982 and 8, that added together give a triangular number (990 = T44).

9828 is nontrivially palindromic in base 5.

9828 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3.

It is a zygodrome in base 3 and base 6.

It is not an unprimeable number, because it can be changed into a prime (9829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750 + ... + 762.

29828 is an apocalyptic number.

9828 is the 63-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680).

9828 is an abundant number, since it is smaller than the sum of its proper divisors (21532).

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

9828 is a wasteful number, since it uses less digits than its factorization.

9828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 25 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 9828 is about 99.1362698511. The cubic root of 9828 is about 21.4201109458.

The spelling of 9828 in words is "nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828