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28589283829064 = 2372959674453387
BaseRepresentation
bin1101000000000011101100…
…00110110110010101001000
310202020002221100100002001102
412200001312012312111020
512221401323130012224
6140445422523440532
76010336050652250
oct640016606662510
9122202840302042
1028589283829064
119122713444a52
123258965386148
1312c4c5b66623a
1470ba2b874960
15348a15e924ae
hex1a00761b6548

28589283829064 has 128 divisors (see below), whose sum is σ = 65411362944000. Its totient is φ = 11455961400576.

The previous prime is 28589283829031. The next prime is 28589283829087. The reversal of 28589283829064 is 46092838298582.

It is a super-2 number, since 2×285892838290642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28589283828982 and 28589283829000.

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, 4192979 + ... + 8646365.

It is an arithmetic number, because the mean of its divisors is an integer number (511026273000).

Almost surely, 228589283829064 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 28589283829064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32705681472000).

28589283829064 is an abundant number, since it is smaller than the sum of its proper divisors (36822079114936).

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

28589283829064 is a wasteful number, since it uses less digits than its factorization.

28589283829064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453555 (or 4453551 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 74.

The spelling of 28589283829064 in words is "twenty-eight trillion, five hundred eighty-nine billion, two hundred eighty-three million, eight hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 59 67 116 118 134 203 232 236 268 406 413 469 472 536 812 826 938 1624 1652 1711 1876 1943 3304 3422 3752 3886 3953 6844 7772 7906 11977 13601 13688 15544 15812 23954 27202 27671 31624 47908 54404 55342 95816 108808 110684 114637 221368 229274 458548 802459 917096 1604918 3209836 4453387 6419672 8906774 17813548 31173709 35627096 62347418 124694836 129148223 249389672 258296446 262749833 298376929 516592892 525499666 596753858 904037561 1033185784 1050999332 1193507716 1808075122 1839248831 2088638503 2101998664 2387015432 3616150244 3678497662 4177277006 7232300488 7356995324 7619745157 8354554012 8652930941 14713990648 15239490314 16709108024 17305861882 17604238811 30478980628 34611723764 35208477622 53338216099 60570516587 60957961256 69223447528 70416955244 106676432198 121141033174 123229671677 140833910488 213352864396 242282066348 246459343354 426705728792 484564132696 492918686708 510522925519 985837373416 1021045851038 2042091702076 3573660478633 4084183404152 7147320957266 14294641914532 28589283829064