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28363691148 = 223132139239421
BaseRepresentation
bin11010011010100110…
…111001010010001100
32201012201021210121120
4122122212321102030
5431042101104043
621010300200540
72022610253052
oct323246712214
981181253546
1028363691148
1111035622a71
1255b6b39150
1328a0388900
141530dc21d2
15b10156983
hex69a9b948c

28363691148 has 144 divisors (see below), whose sum is σ = 72654220800. Its totient is φ = 8607755520.

The previous prime is 28363691143. The next prime is 28363691159. The reversal of 28363691148 is 84119636382.

It is a self number, because there is not a number n which added to its sum of digits gives 28363691148.

It is not an unprimeable number, because it can be changed into a prime (28363691143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67371978 + ... + 67372398.

It is an arithmetic number, because the mean of its divisors is an integer number (504543200).

Almost surely, 228363691148 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 28363691148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36327110400).

28363691148 is an abundant number, since it is smaller than the sum of its proper divisors (44290529652).

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

28363691148 is a wasteful number, since it uses less digits than its factorization.

28363691148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 817 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 28363691148 in words is "twenty-eight billion, three hundred sixty-three million, six hundred ninety-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 169 239 278 338 417 421 478 507 556 676 717 834 842 956 1014 1263 1434 1668 1684 1807 2028 2526 2868 3107 3614 5052 5421 5473 6214 7228 9321 10842 10946 12428 16419 18642 21684 21892 23491 32838 33221 37284 40391 46982 58519 65676 66442 70473 71149 80782 93964 99663 100619 117038 121173 132884 140946 142298 161564 175557 199326 201238 213447 234076 242346 281892 284596 301857 351114 398652 402476 426894 431873 484692 603714 702228 760747 853788 863746 1207428 1295619 1308047 1521494 1727492 2282241 2591238 2616094 3042988 3924141 4564482 5182476 5232188 5614349 7848282 9128964 9889711 11228698 13986041 15696564 16843047 17004611 19779422 22457396 27972082 29669133 33686094 34009222 39558844 41958123 51013833 55944164 59338266 67372188 68018444 83916246 102027666 118676532 167832492 181818533 204055332 363637066 545455599 727274132 1090911198 2181822396 2363640929 4727281858 7090922787 9454563716 14181845574 28363691148