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28520064 = 2732191303
BaseRepresentation
bin110110011001…
…0111010000000
31222122222011200
41230302322000
524300120224
62455141200
7464262606
oct154627200
958588150
1028520064
111510a601
129674800
135ba74a1
143b05876
1527855c9
hex1b32e80

28520064 has 96 divisors (see below), whose sum is σ = 86455200. Its totient is φ = 8999424.

The previous prime is 28520059. The next prime is 28520099. The reversal of 28520064 is 46002582.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21237 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (900575).

Almost surely, 228520064 is an apocalyptic number.

28520064 is a gapful number since it is divisible by the number (24) 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 28520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43227600).

28520064 is an abundant number, since it is smaller than the sum of its proper divisors (57935136).

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

28520064 is a wasteful number, since it uses less digits than its factorization.

28520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28520064 is about 5340.4179611712. The cubic root of 28520064 is about 305.5274006798.

The spelling of 28520064 in words is "twenty-eight million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1303 1368 1824 2432 2606 2736 3648 3909 5212 5472 7296 7818 10424 10944 11727 15636 20848 21888 23454 24757 31272 41696 46908 49514 62544 74271 83392 93816 99028 125088 148542 166784 187632 198056 222813 250176 297084 375264 396112 445626 500352 594168 750528 792224 891252 1188336 1501056 1584448 1782504 2376672 3168896 3565008 4753344 7130016 9506688 14260032 28520064