| Base | Representation |
|---|---|
| bin | 111101010011010… |
| … | …001111000000000 |
| 3 | 2122200020101120000 |
| 4 | 331103101320000 |
| 5 | 4101241323003 |
| 6 | 250015320000 |
| 7 | 34325541456 |
| oct | 7523217000 |
| 9 | 2580211500 |
| 10 | 1028464128 |
| 11 | 4885a535a |
| 12 | 248520000 |
| 13 | 1350c5073 |
| 14 | 9a83a9d6 |
| 15 | 604551a3 |
| hex | 3d4d1e00 |
1028464128 has 100 divisors (see below), whose sum is σ = 3069818400. Its totient is φ = 342807552.
The previous prime is 1028464111. The next prime is 1028464169. The reversal of 1028464128 is 8214648201.
1028464128 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 4 + 641 + 2 + 8 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 1028464092 and 1028464101.
It is a congruent number.
It is an unprimeable number.
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 9 ways as a sum of consecutive naturals, for example, 29073 + ... + 53871.
It is an arithmetic number, because the mean of its divisors is an integer number (30698184).
Almost surely, 21028464128 is an apocalyptic number.
1028464128 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 1028464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534909200).
1028464128 is an abundant number, since it is smaller than the sum of its proper divisors (2041354272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1028464128 is an frugal number, since it uses more digits than its factorization.
1028464128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24829 (or 24804 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 1028464128 is about 32069.6761442956. The cubic root of 1028464128 is about 1009.3994168203.
The spelling of 1028464128 in words is "one billion, twenty-eight million, four hundred sixty-four thousand, one hundred twenty-eight".
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