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28868463432 = 233223103169249
BaseRepresentation
bin11010111000101100…
…011100101101001000
32202111220002220000100
4122320230130231020
5433110311312212
621132331205400
72041246614264
oct327054345510
982456086010
1028868463432
1111274549946
125717ba6860
132950b21c33
14157c05b0a4
15b3e613bdc
hex6b8b1cb48

28868463432 has 96 divisors (see below), whose sum is σ = 82377360000. Its totient is φ = 9115020288.

The previous prime is 28868463401. The next prime is 28868463443. The reversal of 28868463432 is 23436486882.

28868463432 is a `hidden beast` number, since 2 + 88 + 68 + 463 + 43 + 2 = 666.

It is a super-3 number, since 3×288684634323 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85944 + ... + 255192.

It is an arithmetic number, because the mean of its divisors is an integer number (858097500).

Almost surely, 228868463432 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 28868463432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41188680000).

28868463432 is an abundant number, since it is smaller than the sum of its proper divisors (53508896568).

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

28868463432 is a wasteful number, since it uses less digits than its factorization.

28868463432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169387 (or 169380 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 28868463432 in words is "twenty-eight billion, eight hundred sixty-eight million, four hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 103 138 184 206 207 276 309 412 414 552 618 824 828 927 1236 1656 1854 2369 2472 3708 4738 7107 7416 9476 14214 18952 21321 28428 42642 56856 85284 169249 170568 338498 507747 676996 1015494 1353992 1523241 2030988 3046482 3892727 4061976 6092964 7785454 11678181 12185928 15570908 17432647 23356362 31141816 34865294 35034543 46712724 52297941 69730588 70069086 93425448 104595882 139461176 140138172 156893823 209191764 280276344 313787646 400950881 418383528 627575292 801901762 1202852643 1255150584 1603803524 2405705286 3207607048 3608557929 4811410572 7217115858 9622821144 14434231716 28868463432