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28084500 = 223253792
BaseRepresentation
bin110101100100…
…0100100010100
31221211211200200
41223020210110
524142201000
62441540500
7460500003
oct153104424
957754620
1028084500
1114942334
1294a4730
135a84162
143a30c3a
1526eb500
hex1ac8914

28084500 has 108 divisors (see below), whose sum is σ = 89732916. Its totient is φ = 7394400.

The previous prime is 28084477. The next prime is 28084523. The reversal of 28084500 is 548082.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28084500 is a `hidden beast` number, since 2 + 80 + 84 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (28084477) and next prime (28084523).

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 27185796 = 948^2 + 5214^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 355461 + ... + 355539.

Almost surely, 228084500 is an apocalyptic number.

28084500 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 28084500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44866458).

28084500 is an abundant number, since it is smaller than the sum of its proper divisors (61648416).

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

28084500 is a wasteful number, since it uses less digits than its factorization.

28084500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 89 counting only the distinct ones).

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

The square root of 28084500 is about 5299.4811066745. The cubic root of 28084500 is about 303.9640568077.

The spelling of 28084500 in words is "twenty-eight million, eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 125 150 158 180 225 237 250 300 316 375 395 450 474 500 711 750 790 900 948 1125 1185 1422 1500 1580 1975 2250 2370 2844 3555 3950 4500 4740 5925 6241 7110 7900 9875 11850 12482 14220 17775 18723 19750 23700 24964 29625 31205 35550 37446 39500 56169 59250 62410 71100 74892 88875 93615 112338 118500 124820 156025 177750 187230 224676 280845 312050 355500 374460 468075 561690 624100 780125 936150 1123380 1404225 1560250 1872300 2340375 2808450 3120500 4680750 5616900 7021125 9361500 14042250 28084500