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28524803868 = 22321159220693
BaseRepresentation
bin11010100100001101…
…011111011100011100
32201121221110011201100
4122210031133130130
5431404322210433
621034253313100
72026604555331
oct324415373434
981557404640
1028524803868
1111108565380
125640a95790
1328c7878992
141548560988
15b1e37db13
hex6a435f71c

28524803868 has 108 divisors (see below), whose sum is σ = 80018979768. Its totient is φ = 8496962880.

The previous prime is 28524803861. The next prime is 28524803869. The reversal of 28524803868 is 86830842582.

28524803868 is a `hidden beast` number, since 2 + 8 + 524 + 80 + 38 + 6 + 8 = 666.

It is a super-2 number, since 2×285248038682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28524803861) 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 35 ways as a sum of consecutive naturals, for example, 1368130 + ... + 1388822.

Almost surely, 228524803868 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 28524803868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40009489884).

28524803868 is an abundant number, since it is smaller than the sum of its proper divisors (51494175900).

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

28524803868 is a wasteful number, since it uses less digits than its factorization.

28524803868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20832 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 28524803868 in words is "twenty-eight billion, five hundred twenty-four million, eight hundred three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2596 3481 3894 5841 6962 7788 10443 11682 13924 20693 20886 23364 31329 38291 41386 41772 62079 62658 76582 82772 114873 124158 125316 153164 186237 227623 229746 248316 344619 372474 455246 459492 682869 689238 744948 910492 1220887 1365738 1378476 2048607 2441774 2731476 3662661 4097214 4883548 7325322 8194428 10987983 13429757 14650644 21975966 26859514 40289271 43951932 53719028 72032333 80578542 120867813 144064666 161157084 216096999 241735626 288129332 432193998 483471252 648290997 792355663 864387996 1296581994 1584711326 2377066989 2593163988 3169422652 4754133978 7131200967 9508267956 14262401934 28524803868