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28248663600 = 2433522615617
BaseRepresentation
bin11010010011110000…
…000110011000110000
32200220200211210111000
4122103300012120300
5430323124213400
620551030522000
72020012451553
oct322360063060
980820753430
1028248663600
1110a866a8083
125584506300
1328825b3081
14151d9dc69a
15b04ed4600
hex693c06630

28248663600 has 120 divisors (see below), whose sum is σ = 100544355920. Its totient is φ = 7532974080.

The previous prime is 28248663593. The next prime is 28248663613. The reversal of 28248663600 is 636684282.

28248663600 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 8 + 6 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1297009 + ... + 1318608.

Almost surely, 228248663600 is an apocalyptic number.

28248663600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28248663600 is an abundant number, since it is smaller than the sum of its proper divisors (72295692320).

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

28248663600 is a wasteful number, since it uses less digits than its factorization.

28248663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615644 (or 2615627 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28248663600 in words is "twenty-eight billion, two hundred forty-eight million, six hundred sixty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 2615617 5231234 7846851 10462468 13078085 15693702 20924936 23540553 26156170 31387404 39234255 41849872 47081106 52312340 62774808 65390425 70621659 78468510 94162212 104624680 117702765 125549616 130780850 141243318 156937020 188324424 196171275 209249360 235405530 261561700 282486636 313874040 353108295 376648848 392342550 470811060 523123400 564973272 588513825 627748080 706216590 784685100 941622120 1046246800 1129946544 1177027650 1412433180 1569370200 1765541475 1883244240 2354055300 2824866360 3138740400 3531082950 4708110600 5649732720 7062165900 9416221200 14124331800 28248663600