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28266768 = 2432732689
BaseRepresentation
bin110101111010…
…1000100010000
31222012002201100
41223311010100
524214014033
62445504400
7462156255
oct153650420
958162640
1028266768
1114a57272
129572100
135b190ca
143a7b42c
152735513
hex1af5110

28266768 has 60 divisors (see below), whose sum is σ = 80221180. Its totient is φ = 9289728.

The previous prime is 28266757. The next prime is 28266803. The reversal of 28266768 is 86766282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 21233664 = 2652^2 + 4608^2 .

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, 9168 + ... + 11856.

Almost surely, 228266768 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 28266768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40110590).

28266768 is an abundant number, since it is smaller than the sum of its proper divisors (51954412).

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

28266768 is a wasteful number, since it uses less digits than its factorization.

28266768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2767 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 28266768 is about 5316.6500731194. The cubic root of 28266768 is about 304.6202134809.

The spelling of 28266768 in words is "twenty-eight million, two hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 2689 3504 5256 5378 8067 10512 10756 16134 21512 24201 32268 43024 48402 64536 96804 129072 193608 196297 387216 392594 588891 785188 1177782 1570376 1766673 2355564 3140752 3533346 4711128 7066692 9422256 14133384 28266768