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28364716338 = 2373432511277
BaseRepresentation
bin11010011010101010…
…110011100100110010
32201012210012212220120
4122122222303210302
5431042331410323
621010334151110
72022622053000
oct323252634462
981183185816
1028364716338
1111036163232
1255b7352496
1328a065742a
1415311aba70
15b102aa5e3
hex69aab3932

28364716338 has 128 divisors (see below), whose sum is σ = 68018227200. Its totient is φ = 7878024000.

The previous prime is 28364716327. The next prime is 28364716363. The reversal of 28364716338 is 83361746382.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22211356 + ... + 22212632.

It is an arithmetic number, because the mean of its divisors is an integer number (531392400).

Almost surely, 228364716338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28364716338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34009113600).

28364716338 is an abundant number, since it is smaller than the sum of its proper divisors (39653510862).

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

28364716338 is a wasteful number, since it uses less digits than its factorization.

28364716338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1583 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

It can be divided in two parts, 2836 and 4716338, that added together give a palindrome (4719174).

The spelling of 28364716338 in words is "twenty-eight billion, three hundred sixty-four million, seven hundred sixteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 251 258 294 301 343 502 602 686 753 903 1029 1277 1506 1757 1806 2058 2107 2554 3514 3831 4214 5271 6321 7662 8939 10542 10793 12299 12642 14749 17878 21586 24598 26817 29498 32379 36897 44247 53634 54911 62573 64758 73794 75551 86093 88494 109822 125146 151102 164733 172186 187719 226653 258279 320527 329466 375438 384377 438011 453306 516558 528857 641054 768754 876022 961581 1057714 1153131 1314033 1586571 1923162 2243689 2306262 2628066 2690639 3173142 3701999 4487378 5381278 6731067 7403998 8071917 11105997 13462134 13782661 15705823 16143834 18834473 22211994 27565322 31411646 37668946 41347983 47117469 56503419 82695966 94234938 96478627 109940761 113006838 192957254 219881522 289435881 329822283 578871762 659644566 675350389 1350700778 2026051167 4052102334 4727452723 9454905446 14182358169 28364716338