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28672414740 = 223251983101009
BaseRepresentation
bin11010101101000000…
…100101010000010100
32202000020012120202200
4122231000211100110
5432210114232430
621101045204500
72033346334614
oct325500452024
982006176680
1028672414740
1111183915632
125682400730
13291c31c2a8
14155ddc6a44
15b2c2da460
hex6ad025414

28672414740 has 144 divisors (see below), whose sum is σ = 92654452800. Its totient is φ = 7156214784.

The previous prime is 28672414739. The next prime is 28672414769. The reversal of 28672414740 is 4741427682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233356 + ... + 334364.

It is an arithmetic number, because the mean of its divisors is an integer number (643433700).

Almost surely, 228672414740 is an apocalyptic number.

28672414740 is a gapful number since it is divisible by the number (20) 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 28672414740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46327226400).

28672414740 is an abundant number, since it is smaller than the sum of its proper divisors (63982038060).

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

28672414740 is a wasteful number, since it uses less digits than its factorization.

28672414740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101126 (or 101121 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 28672414740 in words is "twenty-eight billion, six hundred seventy-two million, four hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 83 90 95 114 166 171 180 190 228 249 285 332 342 380 415 498 570 684 747 830 855 996 1140 1245 1494 1577 1660 1710 2490 2988 3154 3420 3735 4731 4980 6308 7470 7885 9462 14193 14940 15770 18924 23655 28386 31540 47310 56772 70965 94620 101009 141930 202018 283860 303027 404036 505045 606054 909081 1010090 1212108 1515135 1818162 1919171 2020180 3030270 3636324 3838342 4545405 5757513 6060540 7676684 8383747 9090810 9595855 11515026 16767494 17272539 18181620 19191710 23030052 25151241 28787565 33534988 34545078 38383420 41918735 50302482 57575130 69090156 75453723 83837470 86362695 100604964 115150260 125756205 150907446 159291193 167674940 172725390 251512410 301814892 318582386 345450780 377268615 477873579 503024820 637164772 754537230 796455965 955747158 1433620737 1509074460 1592911930 1911494316 2389367895 2867241474 3185823860 4778735790 5734482948 7168103685 9557471580 14336207370 28672414740