Search a number
-
+
28695665952 = 25321922872293
BaseRepresentation
bin11010101110011001…
…010001110100100000
32202001211221212102200
4122232121101310200
5432232042302302
621103235413200
72034051064452
oct325631216440
982054855380
1028695665952
1111195a56608
12568a154200
1329240a04c5
14156311a2d2
15b2e37e81c
hex6ae651d20

28695665952 has 144 divisors (see below), whose sum is σ = 85973247360. Its totient is φ = 9053876736.

The previous prime is 28695665923. The next prime is 28695665993. The reversal of 28695665952 is 25956659682.

28695665952 is a `hidden beast` number, since 2 + 8 + 69 + 566 + 5 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 28695665952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12513318 + ... + 12515610.

It is an arithmetic number, because the mean of its divisors is an integer number (597036440).

Almost surely, 228695665952 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 28695665952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42986623680).

28695665952 is an abundant number, since it is smaller than the sum of its proper divisors (57277581408).

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

28695665952 is a wasteful number, since it uses less digits than its factorization.

28695665952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4604 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 28695665952 in words is "twenty-eight billion, six hundred ninety-five million, six hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2287 2293 2736 4574 4586 5472 6861 6879 9148 9172 13722 13758 18296 18344 20583 20637 27444 27516 36592 36688 41166 41274 43453 43567 54888 55032 73184 73376 82332 82548 86906 87134 109776 110064 130359 130701 164664 165096 173812 174268 219552 220128 260718 261402 329328 330192 347624 348536 391077 392103 521436 522804 658656 660384 695248 697072 782154 784206 1042872 1045608 1390496 1394144 1564308 1568412 2085744 2091216 3128616 3136824 4171488 4182432 5244091 6257232 6273648 10488182 12514464 12547296 15732273 20976364 31464546 41952728 47196819 62929092 83905456 94393638 99637729 125858184 167810912 188787276 199275458 251716368 298913187 377574552 398550916 503432736 597826374 755149104 797101832 896739561 1195652748 1510298208 1594203664 1793479122 2391305496 3188407328 3586958244 4782610992 7173916488 9565221984 14347832976 28695665952