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28433164368 = 24374712714177
BaseRepresentation
bin11010011110101111…
…111010100001010000
32201101120000101221210
4122132233322201100
5431212342224433
621021221220120
72024412623640
oct323657724120
981346011853
1028433164368
1111070864254
125616261640
1328b18a171b
14153a308520
15b162cb463
hex69ebfa850

28433164368 has 160 divisors (see below), whose sum is σ = 86412754944. Its totient is φ = 7887753216.

The previous prime is 28433164363. The next prime is 28433164387. The reversal of 28433164368 is 86346133482.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28433164363) 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, 1998496 + ... + 2012672.

Almost surely, 228433164368 is an apocalyptic number.

28433164368 is a gapful number since it is divisible by the number (28) 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 28433164368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43206377472).

28433164368 is an abundant number, since it is smaller than the sum of its proper divisors (57979590576).

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

28433164368 is a wasteful number, since it uses less digits than its factorization.

28433164368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14369 (or 14363 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 28433164368 in words is "twenty-eight billion, four hundred thirty-three million, one hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 127 141 168 188 254 282 329 336 376 381 508 564 658 752 762 889 987 1016 1128 1316 1524 1778 1974 2032 2256 2632 2667 3048 3556 3948 5264 5334 5969 6096 7112 7896 10668 11938 14177 14224 15792 17907 21336 23876 28354 35814 41783 42531 42672 47752 56708 71628 83566 85062 95504 99239 113416 125349 143256 167132 170124 198478 226832 250698 286512 297717 334264 340248 396956 501396 595434 666319 668528 680496 793912 1002792 1190868 1332638 1587824 1800479 1998957 2005584 2381736 2665276 3600958 3997914 4664233 4763472 5330552 5401437 7201916 7995828 9328466 10661104 10802874 12603353 13992699 14403832 15991656 18656932 21605748 25206706 27985398 28807664 31983312 37313864 37810059 43211496 50413412 55970796 74627728 75620118 84622513 86422992 100826824 111941592 151240236 169245026 201653648 223883184 253867539 302480472 338490052 507735078 592357591 604960944 676980104 1015470156 1184715182 1353960208 1777072773 2030940312 2369430364 3554145546 4061880624 4738860728 7108291092 9477721456 14216582184 28433164368