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9928 = 231773
BaseRepresentation
bin10011011001000
3111121201
42123020
5304203
6113544
740642
oct23310
914551
109928
117506
1258b4
134699
143892
152e1d
hex26c8

9928 has 16 divisors (see below), whose sum is σ = 19980. Its totient is φ = 4608.

The previous prime is 9923. The next prime is 9929. The reversal of 9928 is 8299.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 324 = 98^2 + 18^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 9896 and 9905.

It is not an unprimeable number, because it can be changed into a prime (9923) 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, 100 + ... + 172.

29928 is an apocalyptic number.

It is an amenable number.

9928 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990).

9928 is a wasteful number, since it uses less digits than its factorization.

9928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 9928 is about 99.6393496566. The cubic root of 9928 is about 21.4925158735.

It can be divided in two parts, 992 and 8, that added together give a cube (1000 = 103).

The spelling of 9928 in words is "nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 17 34 68 73 136 146 292 584 1241 2482 4964 9928