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28115140864 = 281929375387
BaseRepresentation
bin11010001011110010…
…110000000100000000
32200120101121010201111
4122023302300010000
5430034434001424
620525501013104
72013501516466
oct321362600400
980511533644
1028115140864
1110a1829a508
125547854194
132860a33035
141509da2836
15ae840c194
hex68bcb0100

28115140864 has 144 divisors (see below), whose sum is σ = 62774510400. Its totient is φ = 12508618752.

The previous prime is 28115140819. The next prime is 28115140873. The reversal of 28115140864 is 46804151182.

It is a super-2 number, since 2×281151408642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5216379 + ... + 5221765.

It is an arithmetic number, because the mean of its divisors is an integer number (435934100).

Almost surely, 228115140864 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 28115140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31387255200).

28115140864 is an abundant number, since it is smaller than the sum of its proper divisors (34659369536).

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

28115140864 is a wasteful number, since it uses less digits than its factorization.

28115140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 28115140864 in words is "twenty-eight billion, one hundred fifteen million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 29 32 37 38 58 64 74 76 116 128 148 152 232 256 296 304 464 551 592 608 703 928 1073 1102 1184 1216 1406 1856 2146 2204 2368 2432 2812 3712 4292 4408 4736 4864 5387 5624 7424 8584 8816 9472 10774 11248 17168 17632 20387 21548 22496 34336 35264 40774 43096 44992 68672 70528 81548 86192 89984 102353 137344 141056 156223 163096 172384 179968 199319 204706 274688 312446 326192 344768 398638 409412 624892 652384 689536 797276 818824 1249784 1304768 1379072 1594552 1637648 2499568 2609536 2968237 3189104 3275296 3787061 4999136 5219072 5780251 5936474 6378208 6550592 7574122 9998272 11560502 11872948 12756416 13101184 15148244 19996544 23121004 23745896 25512832 26202368 30296488 39993088 46242008 47491792 51025664 60592976 92484016 94983584 109824769 121185952 184968032 189967168 219649538 242371904 369936064 379934336 439299076 484743808 739872128 759868672 878598152 969487616 1479744256 1757196304 3514392608 7028785216 14057570432 28115140864