Search a number
-
+
28608849918 = 23411157293349
BaseRepresentation
bin11010101001001110…
…000110011111111110
32201211210121011020000
4122221032012133332
5432042331144133
621050454535130
72031645132465
oct325116063776
981753534200
1028608849918
1111150a4a420
1256650674a6
13290c0c487c
14155579b9dc
15b26931413
hex6a93867fe

28608849918 has 160 divisors (see below), whose sum is σ = 70820719200. Its totient is φ = 8560131840.

The previous prime is 28608849889. The next prime is 28608849931. The reversal of 28608849918 is 81994880682.

28608849918 is a `hidden beast` number, since 2 + 8 + 60 + 88 + 499 + 1 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81973608 + ... + 81973956.

It is an arithmetic number, because the mean of its divisors is an integer number (442629495).

Almost surely, 228608849918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28608849918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35410359600).

28608849918 is an abundant number, since it is smaller than the sum of its proper divisors (42211869282).

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

28608849918 is a wasteful number, since it uses less digits than its factorization.

28608849918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 28608849918 in words is "twenty-eight billion, six hundred eight million, eight hundred forty-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 157 162 198 293 297 314 349 471 586 594 698 879 891 942 1047 1413 1727 1758 1782 2094 2637 2826 3141 3223 3454 3839 4239 5181 5274 6282 6446 7678 7911 8478 9423 9669 10362 11517 12717 15543 15822 18846 19338 23034 23733 25434 28269 29007 31086 34551 46001 46629 47466 54793 56538 58014 69102 87021 92002 93258 102257 103653 109586 138003 139887 164379 174042 204514 207306 261063 276006 279774 306771 310959 328758 414009 493137 506011 522126 602723 613542 621918 828018 920313 986274 1012022 1124827 1205446 1242027 1479411 1518033 1808169 1840626 2249654 2484054 2760939 2958822 3036066 3374481 3616338 3726081 4438233 4554099 5424507 5521878 6748962 7452162 8282817 8876466 9108198 10123443 10849014 13662297 16054349 16273521 16565634 20246886 27324594 30370329 32108698 32547042 40986891 48163047 48820563 60740658 81973782 91110987 96326094 97641126 144489141 176597839 182221974 288978282 353195678 433467423 529793517 866934846 1059587034 1300402269 1589380551 2600804538 3178761102 4768141653 9536283306 14304424959 28608849918