Search a number
-
+
28338753456 = 24321388117183
BaseRepresentation
bin11010011001000111…
…110000111110110000
32201010222100211112100
4122121013300332300
5431014210102311
621004005500400
72022155300316
oct323107607660
981128324470
1028338753456
111102253aa02
1255aa711700
132898166b90
14152b9700b6
15b0cd7ca56
hex6991f0fb0

28338753456 has 120 divisors (see below), whose sum is σ = 85511776896. Its totient is φ = 8709212160.

The previous prime is 28338753437. The next prime is 28338753481. The reversal of 28338753456 is 65435783382.

It is a happy number.

28338753456 is a `hidden beast` number, since 28 + 3 + 3 + 87 + 534 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640641 + ... + 1657823.

Almost surely, 228338753456 is an apocalyptic number.

28338753456 is a gapful number since it is divisible by the number (26) 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 28338753456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42755888448).

28338753456 is an abundant number, since it is smaller than the sum of its proper divisors (57173023440).

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

28338753456 is a wasteful number, since it uses less digits than its factorization.

28338753456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18091 (or 18082 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 28338753456 in words is "twenty-eight billion, three hundred thirty-eight million, seven hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 881 936 1762 1872 2643 3524 5286 7048 7929 10572 11453 14096 15858 17183 21144 22906 31716 34359 34366 42288 45812 51549 63432 68718 68732 91624 103077 103098 126864 137436 137464 154647 183248 206154 206196 223379 274872 274928 309294 412308 412392 446758 549744 618588 670137 824616 824784 893516 1237176 1340274 1649232 1787032 2010411 2474352 2680548 3574064 4020822 5361096 8041644 10722192 15138223 16083288 30276446 32166576 45414669 60552892 90829338 121105784 136244007 181658676 196796899 242211568 272488014 363317352 393593798 544976028 590390697 726634704 787187596 1089952056 1180781394 1574375192 1771172091 2179904112 2361562788 3148750384 3542344182 4723125576 7084688364 9446251152 14169376728 28338753456