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28921380626120 = 23547271187930211
BaseRepresentation
bin1101001001101110010001…
…00111100101111011001000
310210101212010202001022222212
412210313020213211323020
512242321441420013440
6141302144314404252
76043333526110463
oct644671047457310
9123355122038885
1028921380626120
119240541425a04
1232b11a7a30688
13131a375095c48
1471db336b62da
153524a13ad465
hex1a4dc89e5ec8

28921380626120 has 128 divisors (see below), whose sum is σ = 66740579942400. Its totient is φ = 11274255993600.

The previous prime is 28921380626119. The next prime is 28921380626207. The reversal of 28921380626120 is 2162608312982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957297815 + ... + 957328025.

It is an arithmetic number, because the mean of its divisors is an integer number (521410780800).

Almost surely, 228921380626120 is an apocalyptic number.

28921380626120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28921380626120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33370289971200).

28921380626120 is an abundant number, since it is smaller than the sum of its proper divisors (37819199316280).

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

28921380626120 is a wasteful number, since it uses less digits than its factorization.

28921380626120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32419 (or 32415 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 28921380626120 in words is "twenty-eight trillion, nine hundred twenty-one billion, three hundred eighty million, six hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 271 376 470 542 940 1084 1355 1879 1880 2168 2710 3758 5420 7516 9395 10840 12737 15032 18790 25474 30211 37580 50948 60422 63685 75160 88313 101896 120844 127370 151055 176626 241688 254740 302110 353252 441565 509209 509480 604220 706504 883130 1018418 1208440 1419917 1766260 2036836 2546045 2839834 3532520 4073672 5092090 5679668 7099585 8187181 10184180 11359336 14199170 16374362 20368360 23932823 28398340 32748724 40935905 47865646 56766469 56796680 65497448 81871810 95731292 113532938 119664115 163743620 191462584 227065876 239328230 283832345 327487240 384797507 454131752 478656460 567664690 769595014 957312920 1135329380 1539190028 1923987535 2270658760 2668024043 3078380056 3847975070 5336048086 7695950140 10672096172 13340120215 15383713099 15391900280 21344192344 26680240430 30767426198 53360480860 61534852396 76918565495 106720961720 123069704792 153837130990 307674261980 615348523960 723034515653 1446069031306 2892138062612 3615172578265 5784276125224 7230345156530 14460690313060 28921380626120