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28453282176 = 2731143115629
BaseRepresentation
bin11010011111111100…
…101010000110000000
32201102221212111101210
4122133330222012000
5431233020012201
621023220330120
72025045623304
oct323774520600
981387774353
1028453282176
1111081155040
125620b43940
1328b5ac6657
14153cc63d04
15b17e521d6
hex69ff2a180

28453282176 has 128 divisors (see below), whose sum is σ = 82646438400. Its totient is φ = 8601651200.

The previous prime is 28453282171. The next prime is 28453282181. The reversal of 28453282176 is 67128235482.

It is an interprime number because it is at equal distance from previous prime (28453282171) and next prime (28453282181).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28453282171) 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 15 ways as a sum of consecutive naturals, for example, 1812730 + ... + 1828358.

It is an arithmetic number, because the mean of its divisors is an integer number (645675300).

Almost surely, 228453282176 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 28453282176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41323219200).

28453282176 is an abundant number, since it is smaller than the sum of its proper divisors (54193156224).

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

28453282176 is a wasteful number, since it uses less digits than its factorization.

28453282176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088 (or 16076 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 28453282176 in words is "twenty-eight billion, four hundred fifty-three million, two hundred eighty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 431 528 704 862 1056 1293 1408 1724 2112 2586 3448 4224 4741 5172 6896 9482 10344 13792 14223 15629 18964 20688 27584 28446 31258 37928 41376 46887 55168 56892 62516 75856 82752 93774 113784 125032 151712 165504 171919 187548 227568 250064 303424 343838 375096 455136 500128 515757 606848 687676 750192 910272 1000256 1031514 1375352 1500384 1820544 2000512 2063028 2750704 3000768 4126056 5501408 6001536 6736099 8252112 11002816 13472198 16504224 20208297 22005632 26944396 33008448 40416594 53888792 66016896 74097089 80833188 107777584 148194178 161666376 215555168 222291267 296388356 323332752 431110336 444582534 592776712 646665504 862220672 889165068 1185553424 1293331008 1778330136 2371106848 2586662016 3556660272 4742213696 7113320544 9484427392 14226641088 28453282176