Search a number
-
+
28615658832 = 2433257373691
BaseRepresentation
bin11010101001101000…
…000100110101010000
32201212021102002022000
4122221220010311100
5432101102040312
621051300514000
72032060041525
oct325150046520
981767362260
1028615658832
1111154880022
1256673ab900
132910639b07
14155665114c
15b27328adc
hex6a9a04d50

28615658832 has 160 divisors (see below), whose sum is σ = 82797855360. Its totient is φ = 9462251520.

The previous prime is 28615658779. The next prime is 28615658837. The reversal of 28615658832 is 23885651682.

28615658832 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 56 + 588 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28615658837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41411607 + ... + 41412297.

It is an arithmetic number, because the mean of its divisors is an integer number (517486596).

Almost surely, 228615658832 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 28615658832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41398927680).

28615658832 is an abundant number, since it is smaller than the sum of its proper divisors (54182196528).

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

28615658832 is a wasteful number, since it uses less digits than its factorization.

28615658832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 28615658832 in words is "twenty-eight billion, six hundred fifteen million, six hundred fifty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 257 373 432 514 691 746 771 1028 1119 1382 1492 1542 2056 2073 2238 2313 2764 2984 3084 3357 4112 4146 4476 4626 5528 5968 6168 6219 6714 6939 8292 8952 9252 10071 11056 12336 12438 13428 13878 16584 17904 18504 18657 20142 24876 26856 27756 33168 37008 37314 40284 49752 53712 55512 74628 80568 95861 99504 111024 149256 161136 177587 191722 257743 287583 298512 355174 383444 515486 532761 575166 710348 766888 773229 862749 1030972 1065522 1150332 1420696 1533776 1546458 1598283 1725498 2061944 2131044 2300664 2319687 2588247 2841392 3092916 3196566 3450996 4123888 4262088 4601328 4639374 4794849 5176494 6185832 6393132 6901992 6959061 8524176 9278748 9589698 10352988 12371664 12786264 13803984 13918122 18557496 19179396 20705976 25572528 27836244 37114992 38358792 41411952 55672488 66239951 76717584 111344976 132479902 198719853 264959804 397439706 529919608 596159559 794879412 1059839216 1192319118 1589758824 1788478677 2384638236 3179517648 3576957354 4769276472 7153914708 9538552944 14307829416 28615658832