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28482000 = 2435347101
BaseRepresentation
bin110110010100…
…1100111010000
31222121000221220
41230221213100
524242411000
62454245040
7464043621
oct154514720
958530856
1028482000
1115093a48
129656780
135b93071
143ad5a48
1527791a0
hex1b299d0

28482000 has 160 divisors (see below), whose sum is σ = 94708224. Its totient is φ = 7360000.

The previous prime is 28481993. The next prime is 28482001. The reversal of 28482000 is 28482.

It is a super-2 number, since 2×284820002 = 1622448648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28482001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281950 + ... + 282050.

Almost surely, 228482000 is an apocalyptic number.

28482000 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 28482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354112).

28482000 is an abundant number, since it is smaller than the sum of its proper divisors (66226224).

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

28482000 is a wasteful number, since it uses less digits than its factorization.

28482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28482000 is about 5336.8530052832. The cubic root of 28482000 is about 305.3914172005.

28482000 divided by its reverse (28482) gives a cube (1000 = 103).

The spelling of 28482000 in words is "twenty-eight million, four hundred eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 101 120 125 141 150 188 200 202 235 240 250 282 300 303 375 376 400 404 470 500 505 564 600 606 705 750 752 808 940 1000 1010 1128 1175 1200 1212 1410 1500 1515 1616 1880 2000 2020 2256 2350 2424 2525 2820 3000 3030 3525 3760 4040 4700 4747 4848 5050 5640 5875 6000 6060 7050 7575 8080 9400 9494 10100 11280 11750 12120 12625 14100 14241 15150 17625 18800 18988 20200 23500 23735 24240 25250 28200 28482 30300 35250 37875 37976 40400 47000 47470 50500 56400 56964 60600 70500 71205 75750 75952 94000 94940 101000 113928 118675 121200 141000 142410 151500 189880 202000 227856 237350 282000 284820 303000 356025 379760 474700 569640 593375 606000 712050 949400 1139280 1186750 1424100 1780125 1898800 2373500 2848200 3560250 4747000 5696400 7120500 9494000 14241000 28482000