| Base | Representation |
|---|---|
| bin | 1111010001100… |
| … | …00101100100000 |
| 3 | 22221002110110100 |
| 4 | 13220300230200 |
| 5 | 230300010403 |
| 6 | 20414102400 |
| 7 | 3114023253 |
| oct | 750605440 |
| 9 | 287073410 |
| 10 | 128125728 |
| 11 | 66361835 |
| 12 | 36aaaa00 |
| 13 | 20710653 |
| 14 | 1303309a |
| 15 | b3ad2a3 |
| hex | 7a30b20 |
128125728 has 144 divisors (see below), whose sum is σ = 382427136. Its totient is φ = 40642560.
The previous prime is 128125727. The next prime is 128125733. The reversal of 128125728 is 827521821.
128125728 is a `hidden beast` number, since 1 + 2 + 81 + 2 + 572 + 8 = 666.
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 junction number, because it is equal to n+sod(n) for n = 128125692 and 128125701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (128125727) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 1008801 + ... + 1008927.
It is an arithmetic number, because the mean of its divisors is an integer number (2655744).
Almost surely, 2128125728 is an apocalyptic number.
128125728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 128125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).
128125728 is an abundant number, since it is smaller than the sum of its proper divisors (254301408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128125728 is a wasteful number, since it uses less digits than its factorization.
128125728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 287 (or 276 counting only the distinct ones).
The product of its digits is 17920, while the sum is 36.
The square root of 128125728 is about 11319.2635802865. The cubic root of 128125728 is about 504.1333736213.
The spelling of 128125728 in words is "one hundred twenty-eight million, one hundred twenty-five thousand, seven hundred twenty-eight".
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