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28305217248 = 2537113829169
BaseRepresentation
bin11010010111000111…
…110101011011100000
32201001122021000111120
4122113013311123200
5430432113422443
621000411012240
72021300243160
oct322707653340
981048230446
1028305217248
1111005614730
12559b43a080
132891224479
1415273205a0
15b09e56083
hex6971f56e0

28305217248 has 96 divisors (see below), whose sum is σ = 92635280640. Its totient is φ = 7352002560.

The previous prime is 28305217247. The next prime is 28305217267. The reversal of 28305217248 is 84271250382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28305217247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1907193 + ... + 1921976.

It is an arithmetic number, because the mean of its divisors is an integer number (964950840).

Almost surely, 228305217248 is an apocalyptic number.

28305217248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28305217248 is an abundant number, since it is smaller than the sum of its proper divisors (64330063392).

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

28305217248 is a wasteful number, since it uses less digits than its factorization.

28305217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829200 (or 3829192 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 28305217248 in words is "twenty-eight billion, three hundred five million, two hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 3829169 7658338 11487507 15316676 22975014 26804183 30633352 42120859 45950028 53608366 61266704 80412549 84241718 91900056 107216732 122533408 126362577 160825098 168483436 183800112 214433464 252725154 294846013 321650196 336966872 367600224 428866928 505450308 589692026 643300392 673933744 857733856 884538039 1010900616 1179384052 1286600784 1347867488 1769076078 2021801232 2358768104 2573201568 3538152156 4043602464 4717536208 7076304312 9435072416 14152608624 28305217248