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28083456 = 283317239
BaseRepresentation
bin110101100100…
…0010100000000
31221211210021000
41223020110000
524142132311
62441532000
7460463652
oct153102400
957753230
1028083456
1114941575
1294a4000
135a8383b
143a306d2
1526eb056
hex1ac8500

28083456 has 144 divisors (see below), whose sum is σ = 88300800. Its totient is φ = 8773632.

The previous prime is 28083449. The next prime is 28083457. The reversal of 28083456 is 65438082.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28083456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28083457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117385 + ... + 117623.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 228083456 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 28083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

28083456 is an abundant number, since it is smaller than the sum of its proper divisors (60217344).

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

28083456 is a wasteful number, since it uses less digits than its factorization.

28083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28083456 is about 5299.3826055494. The cubic root of 28083456 is about 303.9602902887.

The spelling of 28083456 in words is "twenty-eight million, eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 239 256 272 288 306 384 408 432 459 478 544 576 612 717 768 816 864 918 956 1088 1152 1224 1434 1632 1728 1836 1912 2151 2176 2304 2448 2868 3264 3456 3672 3824 4063 4302 4352 4896 5736 6453 6528 6912 7344 7648 8126 8604 9792 11472 12189 12906 13056 14688 15296 16252 17208 19584 22944 24378 25812 29376 30592 32504 34416 36567 39168 45888 48756 51624 58752 61184 65008 68832 73134 91776 97512 103248 109701 117504 130016 137664 146268 183552 195024 206496 219402 260032 275328 292536 390048 412992 438804 520064 550656 585072 780096 825984 877608 1040128 1170144 1560192 1651968 1755216 2340288 3120384 3510432 4680576 7020864 9361152 14041728 28083456