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28234884520 = 23517417313873
BaseRepresentation
bin11010010010111011…
…100010010110101000
32200212201220202010201
4122102323202112220
5430311112301040
620545415321544
72016454362403
oct322273422650
980781822121
1028234884520
1110a79946707
12557b9802b4
13287c79a37b
14151bc52d3a
15b03bb1a9a
hex692ee25a8

28234884520 has 128 divisors (see below), whose sum is σ = 69855035040. Its totient is φ = 10227548160.

The previous prime is 28234884467. The next prime is 28234884523. The reversal of 28234884520 is 2548843282.

It can be written as a sum of positive squares in 16 ways, for example, as 1154232676 + 27080651844 = 33974^2 + 164562^2 .

It is not an unprimeable number, because it can be changed into a prime (28234884523) 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 31 ways as a sum of consecutive naturals, for example, 2028304 + ... + 2042176.

Almost surely, 228234884520 is an apocalyptic number.

28234884520 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 28234884520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927517520).

28234884520 is an abundant number, since it is smaller than the sum of its proper divisors (41620150520).

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

28234884520 is a wasteful number, since it uses less digits than its factorization.

28234884520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14015 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 28234884520 in words is "twenty-eight billion, two hundred thirty-four million, eight hundred eighty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 73 82 85 136 146 164 170 205 292 328 340 365 410 584 680 697 730 820 1241 1394 1460 1640 2482 2788 2920 2993 3485 4964 5576 5986 6205 6970 9928 11972 12410 13873 13940 14965 23944 24820 27746 27880 29930 49640 50881 55492 59860 69365 101762 110984 119720 138730 203524 235841 254405 277460 407048 471682 508810 554920 568793 943364 1012729 1017620 1137586 1179205 1886728 2025458 2035240 2275172 2358410 2843965 4050916 4550344 4716820 5063645 5687930 8101832 9433640 9669481 10127290 11375860 17216393 19338962 20254580 22751720 34432786 38677924 40509160 41521889 48347405 68865572 77355848 83043778 86081965 96694810 137731144 166087556 172163930 193389620 207609445 332175112 344327860 386779240 415218890 688655720 705872113 830437780 1411744226 1660875560 2823488452 3529360565 5646976904 7058721130 14117442260 28234884520