Search a number
-
+
28282216032 = 25327107131111
BaseRepresentation
bin11010010101110000…
…000101111001100000
32201000000222102202200
4122111300011321200
5430410221403112
620554230013200
72020600604220
oct322560057140
981000872680
1028282216032
1110aa3634564
1255937a7200
13288952cc95
141524254080
15b07e10cdc
hex695c05e60

28282216032 has 144 divisors (see below), whose sum is σ = 92776948992. Its totient is φ = 8005052160.

The previous prime is 28282216013. The next prime is 28282216033. The reversal of 28282216032 is 23061228282.

28282216032 is a `hidden beast` number, since 2 + 8 + 28 + 2 + 21 + 603 + 2 = 666.

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

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 (28282216033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150157 + ... + 281267.

It is an arithmetic number, because the mean of its divisors is an integer number (644284368).

Almost surely, 228282216032 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 28282216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46388474496).

28282216032 is an abundant number, since it is smaller than the sum of its proper divisors (64494732960).

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

28282216032 is a wasteful number, since it uses less digits than its factorization.

28282216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131241 (or 131230 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 28282216032 in words is "twenty-eight billion, two hundred eighty-two million, two hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 672 749 856 963 1008 1284 1498 1712 1926 2016 2247 2568 2996 3424 3852 4494 5136 5992 6741 7704 8988 10272 11984 13482 15408 17976 23968 26964 30816 35952 53928 71904 107856 131111 215712 262222 393333 524444 786666 917777 1048888 1179999 1573332 1835554 2097776 2359998 2753331 3146664 3671108 4195552 4719996 5506662 6293328 7342216 8259993 9439992 11013324 12586656 14028877 14684432 16519986 18879984 22026648 28057754 29368864 33039972 37759968 42086631 44053296 56115508 66079944 84173262 88106592 98202139 112231016 126259893 132159888 168346524 196404278 224462032 252519786 264319776 294606417 336693048 392808556 448924064 505039572 589212834 673386096 785617112 883819251 1010079144 1178425668 1346772192 1571234224 1767638502 2020158288 2356851336 3142468448 3535277004 4040316576 4713702672 7070554008 9427405344 14141108016 28282216032