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28066248 = 23327233239
BaseRepresentation
bin110101100010…
…0000111001000
31221210220122200
41223010013020
524141104443
62441320200
7460362540
oct153040710
957726580
1028066248
111492a651
129496060
135a78a62
143a28320
1526e5dd3
hex1ac41c8

28066248 has 96 divisors (see below), whose sum is σ = 87609600. Its totient is φ = 7951104.

The previous prime is 28066243. The next prime is 28066267. The reversal of 28066248 is 84266082.

28066248 is a `hidden beast` number, since 28 + 0 + 6 + 624 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28066243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117313 + ... + 117551.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 228066248 is an apocalyptic number.

28066248 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 28066248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43804800).

28066248 is an abundant number, since it is smaller than the sum of its proper divisors (59543352).

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

28066248 is a wasteful number, since it uses less digits than its factorization.

28066248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28066248 is about 5297.7587714051. The cubic root of 28066248 is about 303.8981942113.

The spelling of 28066248 in words is "twenty-eight million, sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 233 239 252 466 478 504 699 717 932 956 1398 1434 1631 1673 1864 1912 2097 2151 2796 2868 3262 3346 4194 4302 4893 5019 5592 5736 6524 6692 8388 8604 9786 10038 13048 13384 14679 15057 16776 17208 19572 20076 29358 30114 39144 40152 55687 58716 60228 111374 117432 120456 167061 222748 334122 389809 445496 501183 668244 779618 1002366 1169427 1336488 1559236 2004732 2338854 3118472 3508281 4009464 4677708 7016562 9355416 14033124 28066248