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28873465416 = 2334791912953
BaseRepresentation
bin11010111000111111…
…100001111001001000
32202112020112000110000
4122320333201321020
5433113101343131
621133030323000
72041340256315
oct327077417110
982466460400
1028873465416
1111277355a14
1257197b9460
132951b838a3
14157c99dd0c
15b3eca0ce6
hex6b8fe1e48

28873465416 has 160 divisors (see below), whose sum is σ = 82352793600. Its totient is φ = 9449706240.

The previous prime is 28873465399. The next prime is 28873465429. The reversal of 28873465416 is 61456437882.

It is a happy number.

28873465416 is a `hidden beast` number, since 28 + 8 + 73 + 4 + 6 + 541 + 6 = 666.

It is a super-3 number, since 3×288734654163 (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9776196 + ... + 9779148.

It is an arithmetic number, because the mean of its divisors is an integer number (514704960).

Almost surely, 228873465416 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 28873465416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41176396800).

28873465416 is an abundant number, since it is smaller than the sum of its proper divisors (53479328184).

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

28873465416 is a wasteful number, since it uses less digits than its factorization.

28873465416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3228 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 28873465416 in words is "twenty-eight billion, eight hundred seventy-three million, four hundred sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 191 216 237 316 324 382 474 573 632 648 711 764 948 1146 1422 1528 1719 1896 2133 2292 2844 2953 3438 4266 4584 5157 5688 5906 6399 6876 8532 8859 10314 11812 12798 13752 15089 15471 17064 17718 20628 23624 25596 26577 30178 30942 35436 41256 45267 51192 53154 60356 61884 70872 79731 90534 106308 120712 123768 135801 159462 181068 212616 233287 239193 271602 318924 362136 407403 466574 478386 543204 564023 637848 699861 814806 933148 956772 1086408 1128046 1222209 1399722 1629612 1692069 1866296 1913544 2099583 2256092 2444418 2799444 3259224 3384138 4199166 4512184 4888836 5076207 5598888 6298749 6768276 8398332 9777672 10152414 12597498 13536552 15228621 16796664 18896247 20304828 25194996 30457242 37792494 40609656 44557817 45685863 50389992 60914484 75584988 89115634 91371726 121828968 133673451 151169976 178231268 182743452 267346902 356462536 365486904 401020353 534693804 802040706 1069387608 1203061059 1604081412 2406122118 3208162824 3609183177 4812244236 7218366354 9624488472 14436732708 28873465416