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28911067440 = 2435298394951
BaseRepresentation
bin11010111011001110…
…111110000100110000
32202121212021101201120
4122323032332010300
5433202213124230
621140452302240
72042305006233
oct327316760460
982555241646
1028911067440
11112965a8972
12572a311980
1329598baac8
14158398b41a
15b4322c310
hex6bb3be130

28911067440 has 160 divisors (see below), whose sum is σ = 92844057600. Its totient is φ = 7433395200.

The previous prime is 28911067439. The next prime is 28911067453. The reversal of 28911067440 is 4476011982.

It is a junction number, because it is equal to n+sod(n) for n = 28911067392 and 28911067401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5836965 + ... + 5841915.

It is an arithmetic number, because the mean of its divisors is an integer number (580275360).

Almost surely, 228911067440 is an apocalyptic number.

28911067440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28911067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46422028800).

28911067440 is an abundant number, since it is smaller than the sum of its proper divisors (63932990160).

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

28911067440 is a wasteful number, since it uses less digits than its factorization.

28911067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 28911067440 in words is "twenty-eight billion, nine hundred eleven million, sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 839 870 1160 1392 1678 1740 2320 2517 3356 3480 4195 4951 5034 6712 6960 8390 9902 10068 12585 13424 14853 16780 19804 20136 24331 24755 25170 29706 33560 39608 40272 48662 49510 50340 59412 67120 72993 74265 79216 97324 99020 100680 118824 121655 143579 145986 148530 194648 198040 201360 237648 243310 287158 291972 297060 364965 389296 396080 430737 486620 574316 583944 594120 717895 729930 861474 973240 1148632 1167888 1188240 1435790 1459860 1722948 1946480 2153685 2297264 2871580 2919720 3445896 4153889 4307370 5743160 5839440 6891792 8307778 8614740 11486320 12461667 16615556 17229480 20769445 24923334 33231112 34458960 41538890 49846668 62308335 66462224 83077780 99693336 120462781 124616670 166155560 199386672 240925562 249233340 332311120 361388343 481851124 498466680 602313905 722776686 963702248 996933360 1204627810 1445553372 1806941715 1927404496 2409255620 2891106744 3613883430 4818511240 5782213488 7227766860 9637022480 14455533720 28911067440