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28350833868 = 2233731239023
BaseRepresentation
bin11010011001110101…
…110110010011001100
32201011211002120202000
4122121311312103030
5431030303140433
621005120432300
72022363053220
oct323165662314
981154076660
1028350833868
1111029341115
1255b2778690
13289a806656
14152d3d6780
15b0de67113
hex699d764cc

28350833868 has 144 divisors (see below), whose sum is σ = 86801863680. Its totient is φ = 7838739360.

The previous prime is 28350833867. The next prime is 28350833891. The reversal of 28350833868 is 86833805382.

28350833868 is a `hidden beast` number, since 28 + 3 + 508 + 33 + 86 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28350833867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707005 + ... + 746027.

It is an arithmetic number, because the mean of its divisors is an integer number (602790720).

Almost surely, 228350833868 is an apocalyptic number.

28350833868 is a gapful number since it is divisible by the number (28) 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 28350833868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43400931840).

28350833868 is an abundant number, since it is smaller than the sum of its proper divisors (58451029812).

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

28350833868 is a wasteful number, since it uses less digits than its factorization.

28350833868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39105 (or 39066 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28350833868 in words is "twenty-eight billion, three hundred fifty million, eight hundred thirty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 961 1116 1302 1674 1922 1953 2604 2883 3348 3844 3906 5766 5859 6727 7812 8649 11532 11718 13454 17298 20181 23436 25947 26908 34596 39023 40362 51894 60543 78046 80724 103788 117069 121086 156092 181629 234138 242172 273161 351207 363258 468276 546322 702414 726516 819483 1053621 1092644 1209713 1404828 1638966 2107242 2419426 2458449 3277932 3629139 4214484 4838852 4916898 7258278 7375347 8467991 9833796 10887417 14516556 14750694 16935982 21774834 25403973 29501388 32662251 33871964 37501103 43549668 50807946 65324502 75002206 76211919 101615892 112503309 130649004 150004412 152423838 225006618 228635757 262507721 304847676 337509927 450013236 457271514 525015442 675019854 787523163 914543028 1012529781 1050030884 1350039708 1575046326 2025059562 2362569489 3150092652 4050119124 4725138978 7087708467 9450277956 14175416934 28350833868