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28215460800 = 2632521959407
BaseRepresentation
bin11010010001110001…
…011100001111000000
32200211101100220210200
4122101301130033000
5430241124221200
620543443125200
72016130313442
oct322161341700
980741326720
1028215460800
1110a6998a34a
125575373800
132878759347
141519438492
15b02126800
hex691c5c3c0

28215460800 has 126 divisors (see below), whose sum is σ = 100284460848. Its totient is φ = 7524119040.

The previous prime is 28215460739. The next prime is 28215460817. The reversal of 28215460800 is 806451282.

28215460800 is a `hidden beast` number, since 28 + 21 + 5 + 4 + 608 + 0 + 0 = 666.

It is a super-2 number, since 2×282154608002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 965304 + ... + 994103.

Almost surely, 228215460800 is an apocalyptic number.

28215460800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28215460800 is an abundant number, since it is smaller than the sum of its proper divisors (72069000048).

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

28215460800 is a wasteful number, since it uses less digits than its factorization.

28215460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959435 (or 1959417 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 28215460800 in words is "twenty-eight billion, two hundred fifteen million, four hundred sixty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 1959407 3918814 5878221 7837628 9797035 11756442 15675256 17634663 19594070 23512884 29391105 31350512 35269326 39188140 47025768 48985175 58782210 62701024 70538652 78376280 88173315 94051536 97970350 117564420 125402048 141077304 146955525 156752560 176346630 188103072 195940700 235128840 282154608 293911050 313505120 352693260 376206144 391881400 440866575 470257680 564309216 587822100 627010240 705386520 783762800 881733150 940515360 1128618432 1175644200 1410773040 1567525600 1763466300 1881030720 2351288400 2821546080 3135051200 3526932600 4702576800 5643092160 7053865200 9405153600 14107730400 28215460800