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28090468394568 = 233229113291187509
BaseRepresentation
bin1100110001100010100100…
…11000111110011001001000
310200110102102001002112012100
412120301102120332121020
512140213234402111233
6135424325533513400
75626316664505416
oct630612230763110
9120412361075170
1028090468394568
118a50112101108
123198155042860
131289bc5a675c8
146d182bac42b6
1533aa6e34b813
hex198c5263e648

28090468394568 has 96 divisors (see below), whose sum is σ = 78708756555000. Its totient is φ = 9039804899328.

The previous prime is 28090468394531. The next prime is 28090468394609. The reversal of 28090468394568 is 86549386409082.

It is a happy number.

28090468394568 is a `hidden beast` number, since 2 + 8 + 0 + 90 + 4 + 6 + 83 + 9 + 456 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17610629036004 + 10479839358564 = 4196502^2 + 3237258^2 .

It is a super-2 number, since 2×280904683945682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28090468394496 and 28090468394505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23061198 + ... + 24248706.

Almost surely, 228090468394568 is an apocalyptic number.

It is an amenable number.

28090468394568 is an abundant number, since it is smaller than the sum of its proper divisors (50618288160432).

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

28090468394568 is a wasteful number, since it uses less digits than its factorization.

28090468394568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198879 (or 1198872 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 28090468394568 in words is "twenty-eight trillion, ninety billion, four hundred sixty-eight million, three hundred ninety-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 11329 22658 33987 45316 67974 90632 101961 135948 203922 271896 328541 407844 657082 815688 985623 1187509 1314164 1971246 2375018 2628328 2956869 3562527 3942492 4750036 5913738 7125054 7884984 9500072 10687581 11827476 14250108 21375162 23654952 28500216 34437761 42750324 68875522 85500648 103313283 137751044 206626566 275502088 309939849 413253132 619879698 826506264 1239759396 2479518792 13453289461 26906578922 40359868383 53813157844 80719736766 107626315688 121079605149 161439473532 242159210298 322878947064 390145394369 484318420596 780290788738 968636841192 1170436183107 1560581577476 2340872366214 3121163154952 3511308549321 4681744732428 7022617098642 9363489464856 14045234197284 28090468394568