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28818229000 = 23531110125939
BaseRepresentation
bin11010110101101100…
…110100011100001000
32202101101120201022211
4122311230310130020
5433004431312000
621123334354504
72040066622231
oct326554643410
982341521284
1028818229000
1111249158a90
1257031bba34
1329435b3c12
141575502088
15b39ede7ba
hex6b5b34708

28818229000 has 128 divisors (see below), whose sum is σ = 74296310400. Its totient is φ = 10375200000.

The previous prime is 28818228983. The next prime is 28818229061. The reversal of 28818229000 is 92281882.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1098031 + ... + 1123969.

It is an arithmetic number, because the mean of its divisors is an integer number (580439925).

Almost surely, 228818229000 is an apocalyptic number.

28818229000 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 28818229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37148155200).

28818229000 is an abundant number, since it is smaller than the sum of its proper divisors (45478081400).

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

28818229000 is a wasteful number, since it uses less digits than its factorization.

28818229000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072 (or 26058 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 28818229000 in words is "twenty-eight billion, eight hundred eighteen million, two hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 25939 27775 44440 50500 51878 55550 101000 103756 111100 129695 138875 207512 222200 259390 277750 285329 518780 555500 570658 648475 1037560 1111000 1141316 1296950 1426645 2282632 2593900 2619839 2853290 3242375 5187800 5239678 5706580 6484750 7133225 10479356 11413160 12969500 13099195 14266450 20958712 25939000 26198390 28532900 28818229 35666125 52396780 57065800 57636458 65495975 71332250 104793560 115272916 130991950 142664500 144091145 230545832 261983900 285329000 288182290 327479875 523967800 576364580 654959750 720455725 1152729160 1309919500 1440911450 2619839000 2881822900 3602278625 5763645800 7204557250 14409114500 28818229000