Base | Representation |
---|---|
bin | 110101100101… |
… | …1011010000000 |
3 | 1221212102122100 |
4 | 1223023122000 |
5 | 24143034003 |
6 | 2442110400 |
7 | 460545624 |
oct | 153133200 |
9 | 57772570 |
10 | 28096128 |
11 | 14950045 |
12 | 94ab400 |
13 | 5a89538 |
14 | 3a35184 |
15 | 26eeba3 |
hex | 1acb680 |
28096128 has 96 divisors (see below), whose sum is σ = 83736900. Its totient is φ = 9042432.
The previous prime is 28096109. The next prime is 28096141. The reversal of 28096128 is 82169082.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 3415104 = 4968^2 + 1848^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 28096092 and 28096101.
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, 968818 + ... + 968846.
Almost surely, 228096128 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 28096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868450).
28096128 is an abundant number, since it is smaller than the sum of its proper divisors (55640772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28096128 is an frugal number, since it uses more digits than its factorization.
28096128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 28096128 is about 5300.5780816813. The cubic root of 28096128 is about 304.0060017282.
It can be divided in two parts, 28096 and 128, that added together give a square (28224 = 1682).
The spelling of 28096128 in words is "twenty-eight million, ninety-six thousand, one hundred twenty-eight".
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