Base | Representation |
---|---|
bin | 110110111101… |
… | …1001100000000 |
3 | 2000020000022000 |
4 | 1231323030000 |
5 | 24334104003 |
6 | 2505344000 |
7 | 466635015 |
oct | 155731400 |
9 | 60200260 |
10 | 28816128 |
11 | 152a1a90 |
12 | 9798000 |
13 | 5c7c183 |
14 | 3b8170c |
15 | 27e31a3 |
hex | 1b7b300 |
28816128 has 144 divisors (see below), whose sum is σ = 93206400. Its totient is φ = 8709120.
The previous prime is 28816127. The next prime is 28816157. The reversal of 28816128 is 82161882.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 28816092 and 28816101.
It is not an unprimeable number, because it can be changed into a prime (28816127) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75843 + ... + 76221.
Almost surely, 228816128 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 28816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46603200).
28816128 is an abundant number, since it is smaller than the sum of its proper divisors (64390272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28816128 is a wasteful number, since it uses less digits than its factorization.
28816128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 415 (or 395 counting only the distinct ones).
The product of its digits is 12288, while the sum is 36.
The square root of 28816128 is about 5368.0655733700. The cubic root of 28816128 is about 306.5809800510.
It can be divided in two parts, 2881 and 6128, that added together give a palindrome (9009).
The spelling of 28816128 in words is "twenty-eight million, eight hundred sixteen thousand, one hundred twenty-eight".
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