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28114744560 = 24357121713751
BaseRepresentation
bin11010001011110001…
…001111010011110000
32200120100212000002120
4122023301033103300
5430034333311220
620525444314240
72013465246210
oct321361172360
980510760076
1028114744560
1110a18049791
1255476a2980
132860924836
141509cdc240
15ae837ea40
hex68bc4f4f0

28114744560 has 160 divisors (see below), whose sum is σ = 99695619072. Its totient is φ = 6420480000.

The previous prime is 28114744547. The next prime is 28114744561. The reversal of 28114744560 is 6544741182.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28114744561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037685 + ... + 2051435.

Almost surely, 228114744560 is an apocalyptic number.

28114744560 is a gapful number since it is divisible by the number (20) 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 28114744560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49847809536).

28114744560 is an abundant number, since it is smaller than the sum of its proper divisors (71580874512).

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

28114744560 is a wasteful number, since it uses less digits than its factorization.

28114744560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14991 (or 14985 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 28114744560 in words is "twenty-eight billion, one hundred fourteen million, seven hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1217 1680 2434 3651 4868 6085 7302 8519 9736 12170 13751 14604 17038 18255 19472 24340 25557 27502 29208 34076 36510 41253 42595 48680 51114 55004 58416 68152 68755 73020 82506 85190 96257 97360 102228 110008 127785 136304 137510 146040 165012 170380 192514 204456 206265 220016 255570 275020 288771 292080 330024 340760 385028 408912 412530 481285 511140 550040 577542 660048 681520 770056 825060 962570 1022280 1100080 1155084 1443855 1540112 1650120 1925140 2044560 2310168 2887710 3300240 3850280 4620336 5775420 7700560 11550840 16734967 23101680 33469934 50204901 66939868 83674835 100409802 117144769 133879736 167349670 200819604 234289538 251024505 267759472 334699340 351434307 401639208 468579076 502049010 585723845 669398680 702868614 803278416 937158152 1004098020 1171447690 1338797360 1405737228 1757171535 1874316304 2008196040 2342895380 2811474456 3514343070 4016392080 4685790760 5622948912 7028686140 9371581520 14057372280 28114744560