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28816256 = 277291109
BaseRepresentation
bin110110111101…
…1001110000000
32000020000110202
41231323032000
524334110011
62505344332
7466635260
oct155731600
960200422
1028816256
11152a2097
1297980a8
135c7c251
143b817a0
1527e323b
hex1b7b380

28816256 has 64 divisors (see below), whose sum is σ = 67932000. Its totient is φ = 11913216.

The previous prime is 28816253. The next prime is 28816289. The reversal of 28816256 is 65261882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28816253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25430 + ... + 26538.

Almost surely, 228816256 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 28816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33966000).

28816256 is an abundant number, since it is smaller than the sum of its proper divisors (39115744).

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

28816256 is a wasteful number, since it uses less digits than its factorization.

28816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 28816256 is about 5368.0774957148. The cubic root of 28816256 is about 306.5814339902.

The spelling of 28816256 in words is "twenty-eight million, eight hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1109 1624 1856 2218 3248 3712 4436 6496 7763 8872 12992 15526 17744 25984 31052 32161 35488 62104 64322 70976 124208 128644 141952 225127 248416 257288 450254 496832 514576 900508 993664 1029152 1801016 2058304 3602032 4116608 7204064 14408128 28816256