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28016352 = 25327131069
BaseRepresentation
bin110101011011…
…1111011100000
31221201101012200
41222313323200
524133010402
62440253200
7460064220
oct152677340
957641180
1028016352
11148a6111
129471200
135a5c130
143a14080
1526d621c
hex1ab7ee0

28016352 has 144 divisors (see below), whose sum is σ = 98148960. Its totient is φ = 7382016.

The previous prime is 28016333. The next prime is 28016377. The reversal of 28016352 is 25361082.

28016352 is a `hidden beast` number, since 28 + 0 + 1 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25674 + ... + 26742.

It is an arithmetic number, because the mean of its divisors is an integer number (681590).

Almost surely, 228016352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49074480).

28016352 is an abundant number, since it is smaller than the sum of its proper divisors (70132608).

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

28016352 is a wasteful number, since it uses less digits than its factorization.

28016352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28016352 is about 5293.0475153734. The cubic root of 28016352 is about 303.7179979494.

The spelling of 28016352 in words is "twenty-eight million, sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1069 1092 1248 1456 1638 1872 2016 2138 2184 2912 3207 3276 3744 4276 4368 6414 6552 7483 8552 8736 9621 12828 13104 13897 14966 17104 19242 22449 25656 26208 27794 29932 34208 38484 41691 44898 51312 55588 59864 67347 76968 83382 89796 97279 102624 111176 119728 125073 134694 153936 166764 179592 194558 222352 239456 250146 269388 291837 307872 333528 359184 389116 444704 500292 538776 583674 667056 718368 778232 875511 1000584 1077552 1167348 1334112 1556464 1751022 2001168 2155104 2334696 3112928 3502044 4002336 4669392 7004088 9338784 14008176 28016352