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28782052462460 = 225111011453891481
BaseRepresentation
bin1101000101101010110000…
…00000110100111101111100
310202220112111201112021110002
412202311120000310331330
512233031120412244320
6141114143052333432
76030302043212633
oct642653000647574
9122815451467402
1028782052462460
1191974442a5410
12328a1a3174278
13130a19c76215b
147170b73b051a
1534da49649675
hex1a2d58034f7c

28782052462460 has 96 divisors (see below), whose sum is σ = 66635811877824. Its totient is φ = 10355431680000.

The previous prime is 28782052462451. The next prime is 28782052462487. The reversal of 28782052462460 is 6426425028782.

It is a junction number, because it is equal to n+sod(n) for n = 28782052462396 and 28782052462405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31839920 + ... + 32731400.

It is an arithmetic number, because the mean of its divisors is an integer number (694123040394).

Almost surely, 228782052462460 is an apocalyptic number.

28782052462460 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 28782052462460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33317905938912).

28782052462460 is an abundant number, since it is smaller than the sum of its proper divisors (37853759415364).

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

28782052462460 is a wasteful number, since it uses less digits than its factorization.

28782052462460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893055 (or 893053 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 56.

The spelling of 28782052462460 in words is "twenty-eight trillion, seven hundred eighty-two billion, fifty-two million, four hundred sixty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1453 2020 2222 2906 4444 5555 5812 7265 11110 14530 15983 22220 29060 31966 63932 79915 146753 159830 293506 319660 587012 733765 891481 1467530 1614283 1782962 2935060 3228566 3565924 4457405 6457132 8071415 8914810 9806291 16142830 17829620 19612582 32285660 39225164 49031455 90039581 98062910 180079162 196125820 360158324 450197905 900395810 990435391 1295321893 1800791620 1980870782 2590643786 3961741564 4952176955 5181287572 6476609465 9904353910 12953218930 14248540823 19808707820 25906437860 28497081646 56994163292 71242704115 130827511193 142485408230 261655022386 284970816460 523310044772 654137555965 1308275111930 1439102623123 2616550223860 2878205246246 5756410492492 7195513115615 14391026231230 28782052462460