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28812400611000 = 2335385371125001
BaseRepresentation
bin1101000110100011010001…
…11001110100111010111000
310210000102211201220221211120
412203101220321310322320
512234030244024023000
6141140122322425240
76032425101215046
oct643215071647270
9123012751827746
1028812400611000
1191a92a8009606
123294052802220
13130ccc7cb27b6
14718755b63396
1534e723ae36a0
hex1a3468e74eb8

28812400611000 has 128 divisors (see below), whose sum is σ = 89905299831360. Its totient is φ = 7682400000000.

The previous prime is 28812400610977. The next prime is 28812400611019. The reversal of 28812400611000 is 11600421882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25048500 + ... + 26173500.

Almost surely, 228812400611000 is an apocalyptic number.

28812400611000 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 28812400611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44952649915680).

28812400611000 is an abundant number, since it is smaller than the sum of its proper divisors (61092899220360).

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

28812400611000 is a wasteful number, since it uses less digits than its factorization.

28812400611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133562 (or 1133548 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 28812400611000 in words is "twenty-eight trillion, eight hundred twelve billion, four hundred million, six hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 8537 17074 25611 34148 42685 51222 68296 85370 102444 128055 170740 204888 213425 256110 341480 426850 512220 640275 853700 1024440 1067125 1125001 1280550 1707400 2134250 2250002 2561100 3201375 3375003 4268500 4500004 5122200 5625005 6402750 6750006 8537000 9000008 11250010 12805500 13500012 16875015 22500020 25611000 27000024 28125025 33750030 45000040 56250050 67500060 84375075 112500100 135000120 140625125 168750150 225000200 281250250 337500300 421875375 562500500 675000600 843750750 1125001000 1687501500 3375003000 9604133537 19208267074 28812400611 38416534148 48020667685 57624801222 76833068296 96041335370 115249602444 144062003055 192082670740 230499204888 240103338425 288124006110 384165341480 480206676850 576248012220 720310015275 960413353700 1152496024440 1200516692125 1440620030550 1920826707400 2401033384250 2881240061100 3601550076375 4802066768500 5762480122200 7203100152750 9604133537000 14406200305500 28812400611000