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28993365168 = 2433741439907
BaseRepresentation
bin11011000000001000…
…111010010010110000
32202211121010112222120
4123000020322102300
5433334300141133
621152552234240
72044324352265
oct330010722260
982747115876
1028993365168
1111328aa9419
12575199b980
132970973ca1
14159089126c
15b4a586ab3
hex6c023a4b0

28993365168 has 160 divisors (see below), whose sum is σ = 79066606080. Its totient is φ = 9142917120.

The previous prime is 28993365151. The next prime is 28993365169. The reversal of 28993365168 is 86156339982.

It is not an unprimeable number, because it can be changed into a prime (28993365169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31965771 + ... + 31966677.

It is an arithmetic number, because the mean of its divisors is an integer number (494166288).

Almost surely, 228993365168 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 28993365168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39533303040).

28993365168 is an abundant number, since it is smaller than the sum of its proper divisors (50073240912).

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

28993365168 is a wasteful number, since it uses less digits than its factorization.

28993365168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1429 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The spelling of 28993365168 in words is "twenty-eight billion, nine hundred ninety-three million, three hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 439 444 492 592 656 878 888 907 984 1317 1517 1756 1776 1814 1968 2634 2721 3034 3512 3628 4551 5268 5442 6068 7024 7256 9102 10536 10884 12136 14512 16243 17999 18204 21072 21768 24272 32486 33559 35998 36408 37187 43536 48729 53997 64972 67118 71996 72816 74374 97458 100677 107994 111561 129944 134236 143992 148748 194916 201354 215988 223122 259888 268472 287984 297496 389832 398173 402708 431976 446244 536944 594992 665963 779664 796346 805416 863952 892488 1194519 1331926 1375919 1592692 1610832 1784976 1997889 2389038 2663852 2751838 3185384 3995778 4127757 4778076 5327704 5503676 6370768 7991556 8255514 9556152 10655408 11007352 14732401 15983112 16325093 16511028 19112304 22014704 29464802 31966224 32650186 33022056 44197203 48975279 58929604 65300372 66044112 88394406 97950558 117859208 130600744 176788812 195901116 235718416 261201488 353577624 391802232 604028441 707155248 783604464 1208056882 1812085323 2416113764 3624170646 4832227528 7248341292 9664455056 14496682584 28993365168