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28769367816 = 23327367155537
BaseRepresentation
bin11010110010110010…
…011011011100001000
32202020222122022101100
4122302302123130020
5432404424232231
621114431221400
72035634406630
oct326262333410
982228568340
1028769367816
1111223615942
1256aa977860
132936436c87
14156cc236c0
15b35a8c1e6
hex6b2c9b708

28769367816 has 96 divisors (see below), whose sum is σ = 89291255040. Its totient is φ = 8197369344.

The previous prime is 28769367811. The next prime is 28769367821. The reversal of 28769367816 is 61876396782.

It is an interprime number because it is at equal distance from previous prime (28769367811) and next prime (28769367821).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28769367811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107200 + ... + 262736.

It is an arithmetic number, because the mean of its divisors is an integer number (930117240).

Almost surely, 228769367816 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 28769367816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44645627520).

28769367816 is an abundant number, since it is smaller than the sum of its proper divisors (60521887224).

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

28769367816 is a wasteful number, since it uses less digits than its factorization.

28769367816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155923 (or 155916 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 28769367816 in words is "twenty-eight billion, seven hundred sixty-nine million, three hundred sixty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 367 504 734 1101 1468 2202 2569 2936 3303 4404 5138 6606 7707 8808 10276 13212 15414 20552 23121 26424 30828 46242 61656 92484 155537 184968 311074 466611 622148 933222 1088759 1244296 1399833 1866444 2177518 2799666 3266277 3732888 4355036 5599332 6532554 8710072 9798831 11198664 13065108 19597662 26130216 39195324 57082079 78390648 114164158 171246237 228328316 342492474 399574553 456656632 513738711 684984948 799149106 1027477422 1198723659 1369969896 1598298212 2054954844 2397447318 3196596424 3596170977 4109909688 4794894636 7192341954 9589789272 14384683908 28769367816