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28284007000 = 235334981043
BaseRepresentation
bin11010010101110110…
…111011001001011000
32201000011100102111211
4122111312323021120
5430411201211000
620554332232504
72020622043544
oct322566731130
981004312454
1028284007000
1110aa46480a7
12559430b734
132889a09222
14152459ca24
15b081667ba
hex695dbb258

28284007000 has 64 divisors (see below), whose sum is σ = 66375036000. Its totient is φ = 11281046400.

The previous prime is 28284006983. The next prime is 28284007007. The reversal of 28284007000 is 70048282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28284007007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308479 + ... + 389521.

Almost surely, 228284007000 is an apocalyptic number.

28284007000 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 28284007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33187518000).

28284007000 is an abundant number, since it is smaller than the sum of its proper divisors (38091029000).

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

28284007000 is a wasteful number, since it uses less digits than its factorization.

28284007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81413 (or 81399 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The spelling of 28284007000 in words is "twenty-eight billion, two hundred eighty-four million, seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 698 1000 1396 1745 2792 3490 6980 8725 13960 17450 34900 43625 69800 81043 87250 162086 174500 324172 349000 405215 648344 810430 1620860 2026075 3241720 4052150 8104300 10130375 16208600 20260750 28284007 40521500 56568014 81043000 113136028 141420035 226272056 282840070 565680140 707100175 1131360280 1414200350 2828400700 3535500875 5656801400 7071001750 14142003500 28284007000