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9788328 = 23321117727
BaseRepresentation
bin100101010101…
…101110101000
3200102022001200
4211111232220
510001211303
6545444200
7146125254
oct45255650
920368050
109788328
115586130
123340660
132049414
14142b264
15cd53a3
hex955ba8

9788328 has 96 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 2787840.

The previous prime is 9788297. The next prime is 9788329. The reversal of 9788328 is 8238879.

9788328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×97883282 = 191622730071168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9788329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13101 + ... + 13827.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 29788328 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 9788328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

9788328 is an abundant number, since it is smaller than the sum of its proper divisors (20875032).

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

9788328 is a wasteful number, since it uses less digits than its factorization.

9788328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 760 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 9788328 is about 3128.6303712647. The cubic root of 9788328 is about 213.9125038999.

The spelling of 9788328 in words is "nine million, seven hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 727 748 792 1122 1224 1454 1496 1683 2181 2244 2908 3366 4362 4488 5816 6543 6732 7997 8724 12359 13086 13464 15994 17448 23991 24718 26172 31988 37077 47982 49436 52344 63976 71973 74154 95964 98872 111231 135949 143946 148308 191928 222462 271898 287892 296616 407847 444924 543796 575784 815694 889848 1087592 1223541 1631388 2447082 3262776 4894164 9788328