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28281516256 = 2573123917041
BaseRepresentation
bin11010010101101101…
…011011000011100000
32200222222122212212001
4122111231123003200
5430410032010011
620554203013344
72020561631110
oct322555330340
980888585761
1028281516256
1110aa31a6834
12559350a254
132889346606
141524111040
15b07d237c1
hex695b5b0e0

28281516256 has 96 divisors (see below), whose sum is σ = 65964810240. Its totient is φ = 11679897600.

The previous prime is 28281516253. The next prime is 28281516293. The reversal of 28281516256 is 65261518282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28281516253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651096 + ... + 1668136.

It is an arithmetic number, because the mean of its divisors is an integer number (687133440).

Almost surely, 228281516256 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 28281516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32982405120).

28281516256 is an abundant number, since it is smaller than the sum of its proper divisors (37683293984).

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

28281516256 is a wasteful number, since it uses less digits than its factorization.

28281516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17328 (or 17320 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The spelling of 28281516256 in words is "twenty-eight billion, two hundred eighty-one million, five hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 239 248 434 478 496 868 956 992 1673 1736 1912 3346 3472 3824 6692 6944 7409 7648 13384 14818 17041 26768 29636 34082 51863 53536 59272 68164 103726 118544 119287 136328 207452 237088 238574 272656 414904 477148 528271 545312 829808 954296 1056542 1659616 1908592 2113084 3697897 3817184 4072799 4226168 7395794 8145598 8452336 14791588 16291196 16904672 28509593 29583176 32582392 57019186 59166352 65164784 114038372 118332704 126256769 130329568 228076744 252513538 456153488 505027076 883797383 912306976 1010054152 1767594766 2020108304 3535189532 4040216608 7070379064 14140758128 28281516256