Search a number
-
+
28528442289096 = 23319983148942743
BaseRepresentation
bin1100111110010010010111…
…01010110010101111001000
310202000021220012020121111020
412133021023222302233020
512214402222211222341
6140401441354232440
76003053252260251
oct637111352625710
9122007805217436
1028528442289096
1190a9931a34512
123249005725720
1312bc2b3770709
14708ad9321b28
1534715490e566
hex19f24bab2bc8

28528442289096 has 128 divisors (see below), whose sum is σ = 75203451648000. Its totient is φ = 8993562375168.

The previous prime is 28528442289059. The next prime is 28528442289131. The reversal of 28528442289096 is 69098224482582.

It is a self number, because there is not a number n which added to its sum of digits gives 28528442289096.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667419901 + ... + 667462643.

It is an arithmetic number, because the mean of its divisors is an integer number (587526966000).

Almost surely, 228528442289096 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 28528442289096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37601725824000).

28528442289096 is an abundant number, since it is smaller than the sum of its proper divisors (46675009358904).

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

28528442289096 is a wasteful number, since it uses less digits than its factorization.

28528442289096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45243 (or 45239 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 69.

The spelling of 28528442289096 in words is "twenty-eight trillion, five hundred twenty-eight billion, four hundred forty-two million, two hundred eighty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 983 1489 1966 2949 2978 3932 4467 5898 5956 7864 8934 11796 11912 17868 18677 23592 28291 35736 37354 42743 56031 56582 74708 84873 85486 112062 113164 128229 149416 169746 170972 224124 226328 256458 339492 341944 448248 512916 678984 812117 1025832 1463687 1624234 2436351 2927374 3248468 4391061 4872702 5854748 6496936 8782122 9745404 11709496 17564244 19490808 27810053 35128488 42016369 55620106 63644327 83430159 84032738 111240212 126049107 127288654 166860318 168065476 190932981 222480424 252098214 254577308 333720636 336130952 381865962 504196428 509154616 667441272 763731924 798311011 1008392856 1209242213 1527463848 1596622022 2394933033 2418484426 3193244044 3627726639 4789866066 4836968852 6386488088 7255453278 9579732132 9673937704 14510906556 19159464264 29021813112 62562373441 125124746882 187687120323 250249493764 375374240646 500498987528 750748481292 1188685095379 1501496962584 2377370190758 3566055286137 4754740381516 7132110572274 9509480763032 14264221144548 28528442289096