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28513296 = 243472449
BaseRepresentation
bin110110011000…
…1010000010000
31222122121220000
41230301100100
524244411141
62455050000
7464234100
oct154612020
958577800
1028513296
1115105509
129670900
135ba4396
143b03200
1527835b6
hex1b31410

28513296 has 150 divisors (see below), whose sum is σ = 96213150. Its totient is φ = 8128512.

The previous prime is 28513283. The next prime is 28513297. The reversal of 28513296 is 69231582.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 3111696 = 5040^2 + 1764^2 .

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 28513296.

It is not an unprimeable number, because it can be changed into a prime (28513297) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63280 + ... + 63728.

It is an arithmetic number, because the mean of its divisors is an integer number (641421).

Almost surely, 228513296 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 28513296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48106575).

28513296 is an abundant number, since it is smaller than the sum of its proper divisors (67699854).

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

28513296 is a wasteful number, since it uses less digits than its factorization.

28513296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28513296 is about 5339.7842653051. The cubic root of 28513296 is about 305.5032308761.

The spelling of 28513296 in words is "twenty-eight million, five hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 449 504 567 588 648 756 784 882 898 1008 1134 1176 1296 1323 1347 1512 1764 1796 2268 2352 2646 2694 3024 3143 3528 3592 3969 4041 4536 5292 5388 6286 7056 7184 7938 8082 9072 9429 10584 10776 12123 12572 15876 16164 18858 21168 21552 22001 24246 25144 28287 31752 32328 36369 37716 44002 48492 50288 56574 63504 64656 66003 72738 75432 84861 88004 96984 113148 132006 145476 150864 169722 176008 193968 198009 226296 254583 264012 290952 339444 352016 396018 452592 509166 528024 581904 594027 678888 792036 1018332 1056048 1188054 1357776 1584072 1782081 2036664 2376108 3168144 3564162 4073328 4752216 7128324 9504432 14256648 28513296