Search a number
-
+
28017738224 = 247361127659
BaseRepresentation
bin11010000101111111…
…001100000111110000
32200022121022120102022
4122011333030013300
5424340020110344
620512101211012
72011206563000
oct320577140760
980277276368
1028017738224
1110978312463
12551b100a68
1328467bb838
1414db08a000
15adeabc0ee
hex685fcc1f0

28017738224 has 160 divisors (see below), whose sum is σ = 64948224000. Its totient is φ = 11699976960.

The previous prime is 28017738223. The next prime is 28017738251. The reversal of 28017738224 is 42283771082.

It is a Cunningham number, because it is equal to 1673852-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28017738223) 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, 42515207 + ... + 42515865.

It is an arithmetic number, because the mean of its divisors is an integer number (405926400).

Almost surely, 228017738224 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 28017738224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32474112000).

28017738224 is an abundant number, since it is smaller than the sum of its proper divisors (36930485776).

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

28017738224 is a wasteful number, since it uses less digits than its factorization.

28017738224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The spelling of 28017738224 in words is "twenty-eight billion, seventeen million, seven hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 127 196 244 254 343 392 427 488 508 659 686 784 854 889 976 1016 1318 1372 1708 1778 2032 2636 2744 2989 3416 3556 4613 5272 5488 5978 6223 6832 7112 7747 9226 10544 11956 12446 14224 15494 18452 20923 23912 24892 30988 32291 36904 40199 41846 43561 47824 49784 54229 61976 64582 73808 80398 83692 83693 87122 99568 108458 123952 129164 160796 167384 167386 174244 216916 226037 258328 281393 321592 334768 334772 348488 379603 433832 452074 516656 562786 585851 643184 669544 696976 759206 867664 904148 1125572 1171702 1339088 1518412 1808296 1969751 2251144 2343404 2657221 3036824 3616592 3939502 4100957 4502288 4686808 5105273 5314442 6073648 7879004 8201914 9373616 10210546 10628884 13788257 15758008 16403828 20421092 21257768 27576514 28706699 31516016 32807656 35736911 40842184 42515536 55153028 57413398 65615312 71473822 81684368 110306056 114826796 142947644 220612112 229653592 250158377 285895288 459307184 500316754 571790576 1000633508 1751108639 2001267016 3502217278 4002534032 7004434556 14008869112 28017738224