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28347227520 = 2735107137983
BaseRepresentation
bin11010011001101000…
…000101110110000000
32201011120022100202120
4122121220011312000
5431023342240040
621004511244240
72022320313123
oct323150056600
981146270676
1028347227520
11110272a8667
1255b1519680
132899b43011
14152cb383ba
15b0d9a37d0
hex699a05d80

28347227520 has 128 divisors (see below), whose sum is σ = 91201904640. Its totient is φ = 7488559104.

The previous prime is 28347227509. The next prime is 28347227527. The reversal of 28347227520 is 2572274382.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28347227527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136449 + ... + 274431.

It is an arithmetic number, because the mean of its divisors is an integer number (712514880).

Almost surely, 228347227520 is an apocalyptic number.

28347227520 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 28347227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45600952320).

28347227520 is an abundant number, since it is smaller than the sum of its proper divisors (62854677120).

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

28347227520 is a wasteful number, since it uses less digits than its factorization.

28347227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138112 (or 138100 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 28347227520 in words is "twenty-eight billion, three hundred forty-seven million, two hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 128 160 192 214 240 320 321 384 428 480 535 640 642 856 960 1070 1284 1605 1712 1920 2140 2568 3210 3424 4280 5136 6420 6848 8560 10272 12840 13696 17120 20544 25680 34240 41088 51360 68480 102720 137983 205440 275966 413949 551932 689915 827898 1103864 1379830 1655796 2069745 2207728 2759660 3311592 4139490 4415456 5519320 6623184 8278980 8830912 11038640 13246368 14764181 16557960 17661824 22077280 26492736 29528362 33115920 44154560 44292543 52985472 59056724 66231840 73820905 88309120 88585086 118113448 132463680 147641810 177170172 221462715 236226896 264927360 295283620 354340344 442925430 472453792 590567240 708680688 885850860 944907584 1181134480 1417361376 1771701720 1889815168 2362268960 2834722752 3543403440 4724537920 5669445504 7086806880 9449075840 14173613760 28347227520