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28065128 = 23713192029
BaseRepresentation
bin110101100001…
…1110101101000
31221210212010012
41223003311220
524141041003
62441311052
7460356350
oct153036550
957725105
1028065128
1114929823
129495488
135a783b0
143a27b60
1526e58d8
hex1ac3d68

28065128 has 64 divisors (see below), whose sum is σ = 68208000. Its totient is φ = 10513152.

The previous prime is 28065119. The next prime is 28065133. The reversal of 28065128 is 82156082.

It is a junction number, because it is equal to n+sod(n) for n = 28065094 and 28065103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12818 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (1065750).

Almost surely, 228065128 is an apocalyptic number.

28065128 is a gapful number since it is divisible by the number (28) 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 28065128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34104000).

28065128 is an abundant number, since it is smaller than the sum of its proper divisors (40142872).

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

28065128 is a wasteful number, since it uses less digits than its factorization.

28065128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 28065128 is about 5297.6530652733. The cubic root of 28065128 is about 303.8941517460.

The spelling of 28065128 in words is "twenty-eight million, sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 2029 3458 4058 6916 8116 13832 14203 16232 26377 28406 38551 52754 56812 77102 105508 113624 154204 184639 211016 269857 308408 369278 501163 539714 738556 1002326 1079428 1477112 2004652 2158856 3508141 4009304 7016282 14032564 28065128