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28082620840 = 23526913032003
BaseRepresentation
bin11010001001110110…
…101100100110101000
32200111010101221122011
4122021312230212220
5430003122331330
620522340005304
72012625224101
oct321166544650
980433357564
1028082620840
1110a009a875a
125538990834
132857088011
1415059393a8
15ae563682a
hex689dac9a8

28082620840 has 64 divisors (see below), whose sum is σ = 63501148800. Its totient is φ = 11177117952.

The previous prime is 28082620829. The next prime is 28082620849. The reversal of 28082620840 is 4802628082.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 28082620793 and 28082620802.

It is not an unprimeable number, because it can be changed into a prime (28082620849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14019279 + ... + 14021281.

It is an arithmetic number, because the mean of its divisors is an integer number (992205450).

Almost surely, 228082620840 is an apocalyptic number.

28082620840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28082620840 is an abundant number, since it is smaller than the sum of its proper divisors (35418527960).

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

28082620840 is a wasteful number, since it uses less digits than its factorization.

28082620840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 28082620840 in words is "twenty-eight billion, eighty-two million, six hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 269 538 1076 1303 1345 2003 2152 2606 2690 4006 5212 5380 6515 8012 10015 10424 10760 13030 16024 20030 26060 40060 52120 80120 350507 538807 701014 1077614 1402028 1752535 2155228 2609909 2694035 2804056 3505070 4310456 5219818 5388070 7010140 10439636 10776140 13049545 14020280 20879272 21552280 26099090 52198180 104396360 702065521 1404131042 2808262084 3510327605 5616524168 7020655210 14041310420 28082620840