Search a number
-
+
28658672028 = 223277110115859
BaseRepresentation
bin11010101100001100…
…001010000110011100
32201222021100101022100
4122230030022012130
5432143110001103
621055434445100
72033121456450
oct325414120634
981867311270
1028658672028
1111177089518
125679893790
132919519ccc
14155c24a660
15b2aec35a3
hex6ac30a19c

28658672028 has 144 divisors (see below), whose sum is σ = 84794411520. Its totient is φ = 7992432000.

The previous prime is 28658672017. The next prime is 28658672087. The reversal of 28658672028 is 82027685682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799163 + ... + 1815021.

It is an arithmetic number, because the mean of its divisors is an integer number (588850080).

Almost surely, 228658672028 is an apocalyptic number.

28658672028 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 28658672028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42397205760).

28658672028 is an abundant number, since it is smaller than the sum of its proper divisors (56135739492).

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

28658672028 is a wasteful number, since it uses less digits than its factorization.

28658672028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048 (or 16043 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28658672028 in words is "twenty-eight billion, six hundred fifty-eight million, six hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 101 126 142 202 213 252 284 303 404 426 497 606 639 707 852 909 994 1212 1278 1414 1491 1818 1988 2121 2556 2828 2982 3636 4242 4473 5964 6363 7171 8484 8946 12726 14342 15859 17892 21513 25452 28684 31718 43026 47577 50197 63436 64539 86052 95154 100394 111013 129078 142731 150591 190308 200788 222026 258156 285462 301182 333039 444052 451773 570924 602364 666078 903546 999117 1125989 1332156 1601759 1807092 1998234 2251978 3203518 3377967 3996468 4503956 4805277 6407036 6755934 7881923 9610554 10133901 11212313 13511868 14415831 15763846 19221108 20267802 22424626 23645769 28831662 31527692 33636939 40535604 44849252 47291538 57663324 67273878 70937307 94583076 100910817 113724889 134547756 141874614 201821634 227449778 283749228 341174667 403643268 454899556 682349334 796074223 1023524001 1364698668 1592148446 2047048002 2388222669 3184296892 4094096004 4776445338 7164668007 9552890676 14329336014 28658672028