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28135228884 = 22371936432699
BaseRepresentation
bin11010001100111111…
…011000010111010100
32200121210101201022020
4122030333120113110
5430110104311014
620531455333140
72014134333240
oct321477302724
980553351266
1028135228884
1110a2866a984
1255525211b0
132864c47539
14150c911420
15aea0791a9
hex68cfd85d4

28135228884 has 96 divisors (see below), whose sum is σ = 75561292800. Its totient is φ = 7981590528.

The previous prime is 28135228873. The next prime is 28135228889. The reversal of 28135228884 is 48882253182.

It is a happy number.

It is a super-3 number, since 3×281352288843 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28135228889) 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 31 ways as a sum of consecutive naturals, for example, 10422967 + ... + 10425665.

It is an arithmetic number, because the mean of its divisors is an integer number (787096800).

Almost surely, 228135228884 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 28135228884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37780646400).

28135228884 is an abundant number, since it is smaller than the sum of its proper divisors (47426063916).

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

28135228884 is a wasteful number, since it uses less digits than its factorization.

28135228884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3547 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The spelling of 28135228884 in words is "twenty-eight billion, one hundred thirty-five million, two hundred twenty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 643 772 1158 1286 1351 1929 2316 2572 2699 2702 3858 4053 4501 5398 5404 7716 8097 8106 9002 10796 13503 16194 16212 18004 18893 27006 32388 37786 54012 56679 75572 113358 124099 226716 248198 372297 496396 520907 744594 868693 1041814 1489188 1562721 1735457 1737386 2083628 2606079 3125442 3470914 3474772 3646349 5206371 5212158 6250884 6941828 7292698 10412742 10424316 10939047 12148199 14585396 20825484 21878094 24296398 36444597 43756188 48592796 72889194 145778388 334943201 669886402 1004829603 1339772804 2009659206 2344602407 4019318412 4689204814 7033807221 9378409628 14067614442 28135228884