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12728028860 = 22517376715101
BaseRepresentation
bin10111101101010011…
…00100111010111100
31012212001000212012022
423312221210322330
5202031333410420
65502553455312
7630261313601
oct136651447274
935761025168
1012728028860
115441705518
122572711538
13127ac38931
1488a5b06a8
154e762cc25
hex2f6a64ebc

12728028860 has 96 divisors (see below), whose sum is σ = 29501817408. Its totient is φ = 4592332800.

The previous prime is 12728028851. The next prime is 12728028869. The reversal of 12728028860 is 6882082721.

It is an interprime number because it is at equal distance from previous prime (12728028851) and next prime (12728028869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728028869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835310 + ... + 850410.

It is an arithmetic number, because the mean of its divisors is an integer number (307310598).

Almost surely, 212728028860 is an apocalyptic number.

12728028860 is a gapful number since it is divisible by the number (10) 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 12728028860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750908704).

12728028860 is an abundant number, since it is smaller than the sum of its proper divisors (16773788548).

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

12728028860 is a wasteful number, since it uses less digits than its factorization.

12728028860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15231 (or 15229 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 12728028860 in words is "twelve billion, seven hundred twenty-eight million, twenty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 37 67 68 74 85 134 148 170 185 268 335 340 370 629 670 740 1139 1258 1340 2278 2479 2516 3145 4556 4958 5695 6290 9916 11390 12395 12580 15101 22780 24790 30202 42143 49580 60404 75505 84286 151010 168572 210715 256717 302020 421430 513434 558737 842860 1011767 1026868 1117474 1283585 2023534 2234948 2567170 2793685 4047068 5058835 5134340 5587370 9498529 10117670 11174740 17200039 18997058 20235340 34400078 37435379 37994116 47492645 68800156 74870758 86000195 94985290 149741516 172000390 187176895 189970580 344000780 374353790 636401443 748707580 1272802886 2545605772 3182007215 6364014430 12728028860