| Base | Representation |
|---|---|
| bin | 1101001001001001… |
| … | …0100000100000000 |
| 3 | 100002212120210022000 |
| 4 | 3102102110010000 |
| 5 | 24211133004003 |
| 6 | 1342025344000 |
| 7 | 153266433210 |
| oct | 32222240400 |
| 9 | 10085523260 |
| 10 | 3528016128 |
| 11 | 155052280a |
| 12 | 825638000 |
| 13 | 442bc8610 |
| 14 | 2567b2240 |
| 15 | 159ae31a3 |
| hex | d2494100 |
3528016128 has 576 divisors, whose sum is σ = 13186252800. Its totient is φ = 905748480.
The previous prime is 3528016127. The next prime is 3528016139. The reversal of 3528016128 is 8216108253.
It is a happy number.
3528016128 is a `hidden beast` number, since 3 + 528 + 0 + 1 + 6 + 128 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×35280161282 = 24893795598856224768, which contains 22 as substring.
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 = 3528016092 and 3528016101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3528016127) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44658393 + ... + 44658471.
It is an arithmetic number, because the mean of its divisors is an integer number (22892800).
Almost surely, 23528016128 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 3528016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593126400).
3528016128 is an abundant number, since it is smaller than the sum of its proper divisors (9658236672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3528016128 is a wasteful number, since it uses less digits than its factorization.
3528016128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 3528016128 is about 59397.1053840168. The cubic root of 3528016128 is about 1522.3348419453.
The spelling of 3528016128 in words is "three billion, five hundred twenty-eight million, sixteen thousand, one hundred twenty-eight".
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