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28300358905 = 5741332937
BaseRepresentation
bin11010010110110101…
…010011010011111001
32201001022010012002221
4122112311103103321
5430424342441110
621000114524041
72021211040000
oct322665232371
981038105087
1028300358905
11110028a6575
125599896621
132890213000
141526817c37
15b097e67da
hex696d534f9

28300358905 has 160 divisors (see below), whose sum is σ = 45598039200. Its totient is φ = 16828051968.

The previous prime is 28300358899. The next prime is 28300358921. The reversal of 28300358905 is 50985300382.

It can be written as a sum of positive squares in 16 ways, for example, as 24632360809 + 3667998096 = 156947^2 + 60564^2 .

It is not a de Polignac number, because 28300358905 - 219 = 28299834617 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 764874547 + ... + 764874583.

It is an arithmetic number, because the mean of its divisors is an integer number (284987745).

Almost surely, 228300358905 is an apocalyptic number.

It is an amenable number.

28300358905 is a deficient number, since it is larger than the sum of its proper divisors (17297680295).

28300358905 is an frugal number, since it uses more digits than its factorization.

28300358905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 28300358905 in words is "twenty-eight billion, three hundred million, three hundred fifty-eight thousand, nine hundred five".

Divisors: 1 5 7 13 29 35 37 49 65 91 145 169 185 203 245 259 343 377 455 481 637 845 1015 1073 1183 1295 1421 1715 1813 1885 2197 2401 2405 2639 3185 3367 4459 4901 5365 5915 6253 7105 7511 8281 9065 9947 10985 12005 12691 13195 13949 15379 16835 18473 22295 23569 24505 31213 31265 34307 37555 41405 43771 49735 52577 57967 63455 63713 69629 69745 76895 81289 88837 92365 97643 107653 117845 129311 156065 164983 171535 181337 218855 240149 262885 289835 306397 318565 348145 368039 405769 406445 444185 445991 488215 538265 569023 646555 683501 753571 824915 905177 906685 1154881 1200745 1269359 1531985 1681043 1840195 2028845 2144779 2229955 2357381 2576273 2845115 3121937 3417505 3767855 3983161 4525885 4784507 5274997 5774405 6346795 8405215 8885513 10723895 11767301 11786905 12881365 15013453 15609685 16501667 19915805 21853559 23922535 26374985 27882127 33491549 44427565 58836505 62198591 75067265 82508335 109267795 115511669 139410635 152974913 167457745 195174889 310992955 435390137 577558345 764874565 808581683 975874445 2176950685 4042908415 5660071781 28300358905