Search a number
-
+
28376400312 = 23321331231547
BaseRepresentation
bin11010011011010111…
…011000000110111000
32201020121012111022100
4122123113120012320
5431103324302222
621011432423400
72023123265031
oct323327300670
981217174270
1028376400312
1111041813607
1255bb247b60
1328a2bb8620
14153296da88
15b113174ac
hex69b5d81b8

28376400312 has 144 divisors (see below), whose sum is σ = 85523157720. Its totient is φ = 8449280640.

The previous prime is 28376400301. The next prime is 28376400319. The reversal of 28376400312 is 21300467382.

It is a happy number.

28376400312 is a `hidden beast` number, since 2 + 8 + 3 + 7 + 640 + 0 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28376400319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 883723 + ... + 915269.

Almost surely, 228376400312 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 28376400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42761578860).

28376400312 is an abundant number, since it is smaller than the sum of its proper divisors (57146757408).

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

28376400312 is a wasteful number, since it uses less digits than its factorization.

28376400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31634 (or 31596 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 28376400312 its reverse (21300467382), we get a palindrome (49676867694).

The spelling of 28376400312 in words is "twenty-eight billion, three hundred seventy-six million, four hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 961 1116 1209 1612 1922 2232 2418 2883 3224 3627 3844 4836 5766 7254 7688 8649 9672 11532 12493 14508 17298 23064 24986 29016 31547 34596 37479 49972 63094 69192 74958 94641 99944 112437 126188 149916 189282 224874 252376 283923 299832 378564 410111 449748 567846 757128 820222 899496 977957 1135692 1230333 1640444 1955914 2271384 2460666 2933871 3280888 3690999 3911828 4921332 5867742 7381998 7823656 8801613 9842664 11735484 12713441 14763996 17603226 23470968 25426882 29527992 30316667 35206452 38140323 50853764 60633334 70412904 76280646 90950001 101707528 114420969 121266668 152561292 181900002 228841938 242533336 272850003 305122584 363800004 394116671 457683876 545700006 727600008 788233342 915367752 1091400012 1182350013 1576466684 2182800024 2364700026 3152933368 3547050039 4729400052 7094100078 9458800104 14188200156 28376400312