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328828368393 = 337831031131801
BaseRepresentation
bin1001100100011111011…
…00101011011000001001
31011102202121120212201000
410302033230223120021
520341420030242033
6411021153045213
732520450004530
oct4621754533011
91142677525630
10328828368393
11117501050148
125388bb56809
1325015552965
1411cb5b23317
158848502a13
hex4c8fb2b609

328828368393 has 128 divisors (see below), whose sum is σ = 574278082560. Its totient is φ = 182107699200.

The previous prime is 328828368353. The next prime is 328828368433. The reversal of 328828368393 is 393863828823.

328828368393 is a `hidden beast` number, since 32 + 8 + 82 + 83 + 68 + 393 = 666.

It is an interprime number because it is at equal distance from previous prime (328828368353) and next prime (328828368433).

It is not a de Polignac number, because 328828368393 - 212 = 328828364297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 328828368393.

It is not an unprimeable number, because it can be changed into a prime (328828368353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182580093 + ... + 182581893.

It is an arithmetic number, because the mean of its divisors is an integer number (4486547520).

Almost surely, 2328828368393 is an apocalyptic number.

It is an amenable number.

328828368393 is a deficient number, since it is larger than the sum of its proper divisors (245449714167).

328828368393 is a wasteful number, since it uses less digits than its factorization.

328828368393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 328828368393 in words is "three hundred twenty-eight billion, eight hundred twenty-eight million, three hundred sixty-eight thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 83 103 113 189 249 309 339 581 721 747 791 927 1017 1743 1801 2163 2241 2373 2781 3051 5229 5403 6489 7119 8549 9379 11639 12607 15687 16209 19467 21357 25647 28137 34917 37821 48627 59843 65653 76941 81473 84411 104751 113463 149483 179529 185503 196959 203513 230823 244419 253233 314253 340389 448449 538587 556509 590877 610539 733257 966037 1046381 1298521 1345347 1424591 1615761 1669527 1772631 1831617 2199771 2898111 3139143 3895563 4036041 4273773 5008581 5494851 6762259 8694333 9417429 11686689 12821319 15396749 16891579 20286777 20961839 26082999 28252287 35060067 38463957 46190247 50674737 60860331 62885517 107777243 118241053 138570741 146732873 152024211 182580993 188656551 323331729 354723159 415712223 440198619 456072633 565969653 969995187 1064169477 1320595857 1739832637 2909985561 3192508431 3961787571 5219497911 12178828459 15658493733 36536485377 46975481199 109609456131 328828368393