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28265941548 = 22331321791097
BaseRepresentation
bin11010010100110010…
…000000101000101100
32200221220100121101000
4122110302000220230
5430342040112143
620552445120300
72020312352565
oct322462005054
980856317330
1028265941548
1110a95429279
12558a259090
132886052500
14152201916c
15b06798bd3
hex694c80a2c

28265941548 has 144 divisors (see below), whose sum is σ = 84021507360. Its totient is φ = 8185522176.

The previous prime is 28265941547. The next prime is 28265941549. The reversal of 28265941548 is 84514956282.

28265941548 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 5 + 94 + 1 + 548 = 666.

It is an interprime number because it is at equal distance from previous prime (28265941547) and next prime (28265941549).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28265941494 and 28265941503.

It is not an unprimeable number, because it can be changed into a prime (28265941541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264736 + ... + 355832.

It is an arithmetic number, because the mean of its divisors is an integer number (583482690).

Almost surely, 228265941548 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 28265941548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42010753680).

28265941548 is an abundant number, since it is smaller than the sum of its proper divisors (55755565812).

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

28265941548 is a wasteful number, since it uses less digits than its factorization.

28265941548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91153 (or 91132 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 28265941548 in words is "twenty-eight billion, two hundred sixty-five million, nine hundred forty-one thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 169 204 221 234 306 338 351 442 459 468 507 612 663 676 702 884 918 1014 1326 1404 1521 1836 1989 2028 2652 2873 3042 3978 4563 5746 5967 6084 7956 8619 9126 11492 11934 17238 18252 23868 25857 34476 51714 77571 91097 103428 155142 182194 273291 310284 364388 546582 819873 1093164 1184261 1548649 1639746 2368522 2459619 3097298 3279492 3552783 4645947 4737044 4919238 6194596 7105566 9291894 9838476 10658349 13937841 14211132 15395393 18583788 20132437 21316698 27875682 30790786 31975047 40264874 41813523 42633396 46186179 55751364 60397311 61581572 63950094 80529748 83627046 92372358 120794622 127900188 138558537 167254092 181191933 184744716 241589244 261721681 277117074 362383866 415675611 523443362 543575799 554234148 724767732 785165043 831351222 1046886724 1087151598 1570330086 1662702444 2174303196 2355495129 3140660172 4710990258 7066485387 9421980516 14132970774 28265941548