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9728959896 = 23363153813
BaseRepresentation
bin10010000111110010…
…00010010110011000
3221010000202101000000
421003321002112120
5124411103204041
64245221213000
7463043536365
oct110371022630
927100671000
109728959896
114142820627
121a76261160
13bc07bc106
1468416b46c
153be1bebb6
hex243e42598

9728959896 has 112 divisors (see below), whose sum is σ = 28232976960. Its totient is φ = 3138315840.

The previous prime is 9728959871. The next prime is 9728959897. The reversal of 9728959896 is 6989598279.

It is a happy number.

9728959896 is a `hidden beast` number, since 9 + 7 + 28 + 9 + 598 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728959897) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 153886 + ... + 207698.

Almost surely, 29728959896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9728959896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116488480).

9728959896 is an abundant number, since it is smaller than the sum of its proper divisors (18504017064).

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

9728959896 is a wasteful number, since it uses less digits than its factorization.

9728959896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53868 (or 53849 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The square root of 9728959896 is about 98635.4900428847. The cubic root of 9728959896 is about 2134.7915301570.

The spelling of 9728959896 in words is "nine billion, seven hundred twenty-eight million, nine hundred fifty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 729 744 837 972 1116 1458 1674 1944 2232 2511 2916 3348 5022 5832 6696 7533 10044 15066 20088 22599 30132 45198 53813 60264 90396 107626 161439 180792 215252 322878 430504 484317 645756 968634 1291512 1452951 1668203 1937268 2905902 3336406 3874536 4358853 5004609 5811804 6672812 8717706 10009218 11623608 13076559 13345624 15013827 17435412 20018436 26153118 30027654 34870824 39229677 40036872 45041481 52306236 60055308 78459354 90082962 104612472 120110616 135124443 156918708 180165924 270248886 313837416 360331848 405373329 540497772 810746658 1080995544 1216119987 1621493316 2432239974 3242986632 4864479948 9728959896