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28485000 = 233354211
BaseRepresentation
bin110110010101…
…0010110001000
31222121012002000
41230222112020
524243010000
62454311000
7464055435
oct154522610
958535060
1028485000
1115096225
129658460
135b9453b
143ad6b8c
15277a000
hex1b2a588

28485000 has 160 divisors (see below), whose sum is σ = 99343200. Its totient is φ = 7560000.

The previous prime is 28484999. The next prime is 28485007. The reversal of 28485000 is 58482.

It is a super-2 number, since 2×284850002 = 1622790450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28485007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134895 + ... + 135105.

It is an arithmetic number, because the mean of its divisors is an integer number (620895).

Almost surely, 228485000 is an apocalyptic number.

28485000 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 28485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49671600).

28485000 is an abundant number, since it is smaller than the sum of its proper divisors (70858200).

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

28485000 is a wasteful number, since it uses less digits than its factorization.

28485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28485000 is about 5337.1340623972. The cubic root of 28485000 is about 305.4021390844.

The spelling of 28485000 in words is "twenty-eight million, four hundred eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 211 216 225 250 270 300 360 375 422 450 500 540 600 625 633 675 750 844 900 1000 1055 1080 1125 1250 1266 1350 1500 1688 1800 1875 1899 2110 2250 2500 2532 2700 3000 3165 3375 3750 3798 4220 4500 5000 5064 5275 5400 5625 5697 6330 6750 7500 7596 8440 9000 9495 10550 11250 11394 12660 13500 15000 15192 15825 16875 18990 21100 22500 22788 25320 26375 27000 28485 31650 33750 37980 42200 45000 45576 47475 52750 56970 63300 67500 75960 79125 94950 105500 113940 126600 131875 135000 142425 158250 189900 211000 227880 237375 263750 284850 316500 379800 395625 474750 527500 569700 633000 712125 791250 949500 1055000 1139400 1186875 1424250 1582500 1899000 2373750 2848500 3165000 3560625 4747500 5697000 7121250 9495000 14242500 28485000