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28768844104 = 237111335910007
BaseRepresentation
bin11010110010110000…
…011011100101001000
32202020221122200222121
4122302300123211020
5432404311002404
621114412101024
72035630066030
oct326260334510
982227580877
1028768844104
1111223298420
1256aa764774
1329362b27a0
14156cb288c0
15b359d6e54
hex6b2c1b948

28768844104 has 128 divisors (see below), whose sum is σ = 72634060800. Its totient is φ = 10316586240.

The previous prime is 28768844029. The next prime is 28768844189. The reversal of 28768844104 is 40144886782.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 2869869 + ... + 2879875.

It is an arithmetic number, because the mean of its divisors is an integer number (567453600).

Almost surely, 228768844104 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 28768844104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36317030400).

28768844104 is an abundant number, since it is smaller than the sum of its proper divisors (43865216696).

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

28768844104 is a wasteful number, since it uses less digits than its factorization.

28768844104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 52.

The spelling of 28768844104 in words is "twenty-eight billion, seven hundred sixty-eight million, eight hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 359 364 572 616 718 728 1001 1144 1436 2002 2513 2872 3949 4004 4667 5026 7898 8008 9334 10007 10052 15796 18668 20014 20104 27643 31592 32669 37336 40028 51337 55286 65338 70049 80056 102674 110077 110572 130091 130676 140098 205348 220154 221144 260182 261352 280196 359359 410696 440308 520364 560392 718718 770539 880616 910637 1040728 1431001 1437436 1541078 1821274 2862002 2874872 3082156 3592513 3642548 5724004 6164312 7185026 7285096 10017007 11448008 14370052 20034014 25147591 28740104 39517643 40068028 46702669 50295182 79035286 80136056 93405338 100590364 158070572 186810676 201180728 276623501 316141144 326918683 373621352 513729359 553247002 653837366 1027458718 1106494004 1307674732 2054917436 2212988008 2615349464 3596105513 4109834872 7192211026 14384422052 28768844104