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28297728459 = 33711134125537
BaseRepresentation
bin11010010110101011…
…010001000111001011
32201001010011112211000
4122112223101013023
5430423204302314
620555542310043
72021146503030
oct322653210713
981033145730
1028297728459
111100136a250
125598a28323
13288c801930
141526331387
15b09477209
hex696ad11cb

28297728459 has 128 divisors (see below), whose sum is σ = 57662760960. Its totient is φ = 13237862400.

The previous prime is 28297728443. The next prime is 28297728467. The reversal of 28297728459 is 95482779282.

28297728459 is a `hidden beast` number, since 28 + 2 + 97 + 72 + 8 + 459 = 666.

It is not a de Polignac number, because 28297728459 - 24 = 28297728443 is a prime.

It is a super-2 number, since 2×282977284592 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28297728396 and 28297728405.

It is not an unprimeable number, because it can be changed into a prime (28297728469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1095339 + ... + 1120875.

It is an arithmetic number, because the mean of its divisors is an integer number (450490320).

Almost surely, 228297728459 is an apocalyptic number.

28297728459 is an abundant number, since it is smaller than the sum of its proper divisors (29365032501).

28297728459 is a wasteful number, since it uses less digits than its factorization.

28297728459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25618 (or 25612 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 28297728459 in words is "twenty-eight billion, two hundred ninety-seven million, seven hundred twenty-eight thousand, four hundred fifty-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 41 63 77 91 99 117 123 143 189 231 273 287 297 351 369 429 451 533 693 819 861 1001 1107 1287 1353 1599 2079 2457 2583 3003 3157 3731 3861 4059 4797 5863 7749 9009 9471 11193 12177 14391 17589 25537 27027 28413 33579 41041 52767 76611 85239 100737 123123 158301 178759 229833 280907 331981 369369 536277 689499 842721 995943 1047017 1108107 1608831 1966349 2323867 2528163 2987829 3141051 3651791 4826493 5899047 6971601 7329119 7584489 8963487 9423153 10955373 11517187 13611221 17697141 20914803 21987357 25562537 28269459 32866119 34551561 40833663 53091423 62744409 65962071 76687611 80620309 95278547 98598357 103654683 122500989 149723431 197886213 230062833 241860927 285835641 310964049 367502967 449170293 690188499 725582781 857506923 1048064017 1347510879 2176748343 2572520769 3144192051 4042532637 9432576153 28297728459