Search a number
-
+
28306312092 = 223271791031361
BaseRepresentation
bin11010010111001100…
…000000101110011100
32201001201022122100100
4122113030000232130
5430432403441332
621000450301100
72021312453142
oct322714005634
981051278310
1028306312092
11110061a2263
12559b887790
1328915188c6
141527527592
15b0a0c067c
hex697300b9c

28306312092 has 144 divisors (see below), whose sum is σ = 74246215680. Its totient is φ = 9088934400.

The previous prime is 28306312079. The next prime is 28306312093. The reversal of 28306312092 is 29021360382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28306312093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20797492 + ... + 20798852.

It is an arithmetic number, because the mean of its divisors is an integer number (515598720).

Almost surely, 228306312092 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 28306312092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37123107840).

28306312092 is an abundant number, since it is smaller than the sum of its proper divisors (45939903588).

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

28306312092 is a wasteful number, since it uses less digits than its factorization.

28306312092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 28306312092 in words is "twenty-eight billion, three hundred six million, three hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 79 103 142 158 206 213 237 284 309 316 412 426 474 618 639 711 852 927 948 1236 1278 1361 1422 1854 2556 2722 2844 3708 4083 5444 5609 7313 8137 8166 11218 12249 14626 16274 16332 16827 21939 22436 24411 24498 29252 32548 33654 43878 48822 48996 50481 65817 67308 73233 87756 96631 97644 100962 107519 131634 140183 146466 193262 201924 215038 263268 280366 289893 292932 322557 386524 420549 430076 560732 577727 579786 645114 841098 869679 967671 1155454 1159572 1261647 1290228 1682196 1733181 1739358 1935342 2310908 2523294 3466362 3478716 3870684 5046588 5199543 6932724 7633849 9952993 10399086 11074457 15267698 19905986 20798172 22148914 22901547 29858979 30535396 33223371 39811972 44297828 45803094 59717958 66446742 68704641 89576937 91606188 99670113 119435916 132893484 137409282 179153874 199340226 274818564 358307748 398680452 786286447 1572572894 2358859341 3145145788 4717718682 7076578023 9435437364 14153156046 28306312092