Search a number
-
+
28932237488 = 24711186112619
BaseRepresentation
bin11010111100011111…
…101110100010110000
32202200100002221120102
4122330133232202300
5433223123044423
621142530131532
72042652650420
oct327437564260
982610087512
1028932237488
11112a7548280
125735420ba8
1329610c096b
1415866dc480
15b4500ec28
hex6bc7ee8b0

28932237488 has 80 divisors (see below), whose sum is σ = 69931357440. Its totient is φ = 11265350400.

The previous prime is 28932237463. The next prime is 28932237511. The reversal of 28932237488 is 88473223982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 2286443 + ... + 2299061.

It is an arithmetic number, because the mean of its divisors is an integer number (874141968).

Almost surely, 228932237488 is an apocalyptic number.

28932237488 is a gapful number since it is divisible by the number (28) 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 28932237488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34965678720).

28932237488 is an abundant number, since it is smaller than the sum of its proper divisors (40999119952).

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

28932237488 is a wasteful number, since it uses less digits than its factorization.

28932237488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14506 (or 14500 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The spelling of 28932237488 in words is "twenty-eight billion, nine hundred thirty-two million, two hundred thirty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1861 3722 7444 12619 13027 14888 20471 25238 26054 29776 40942 50476 52108 81884 88333 100952 104216 138809 143297 163768 176666 201904 208432 277618 286594 327536 353332 555236 573188 706664 971663 1110472 1146376 1413328 1943326 2220944 2292752 3886652 7773304 15546608 23483959 46967918 93935836 164387713 187871672 258323549 328775426 375743344 516647098 657550852 1033294196 1315101704 1808264843 2066588392 2630203408 3616529686 4133176784 7233059372 14466118744 28932237488