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28823168 = 271121861
BaseRepresentation
bin110110111110…
…0111010000000
32000020100221202
41231330322000
524334320133
62505440332
7466664363
oct155747200
960210852
1028823168
11152a7300
1297a00a8
135c8243a
143b840da
1527e52e8
hex1b7ce80

28823168 has 48 divisors (see below), whose sum is σ = 63149730. Its totient is φ = 13094400.

The previous prime is 28823153. The next prime is 28823189. The reversal of 28823168 is 86132882.

It can be written as a sum of positive squares in only one way, i.e., 28815424 + 7744 = 5368^2 + 88^2 .

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 5 ways as a sum of consecutive naturals, for example, 14558 + ... + 16418.

Almost surely, 228823168 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 28823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574865).

28823168 is an abundant number, since it is smaller than the sum of its proper divisors (34326562).

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

28823168 is a wasteful number, since it uses less digits than its factorization.

28823168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1874 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 28823168 is about 5368.7212630197. The cubic root of 28823168 is about 306.6059447092.

The spelling of 28823168 in words is "twenty-eight million, eight hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1861 1936 3722 3872 7444 7744 14888 15488 20471 29776 40942 59552 81884 119104 163768 225181 238208 327536 450362 655072 900724 1310144 1801448 2620288 3602896 7205792 14411584 28823168