| Base | Representation |
|---|---|
| bin | 1100011110100101011… |
| … | …10010111010010000000 |
| 3 | 1111222122102112220200000 |
| 4 | 12033102232113102000 |
| 5 | 24011023201203043 |
| 6 | 524543100400000 |
| 7 | 42655335326640 |
| oct | 6172256272200 |
| 9 | 1458572486600 |
| 10 | 428737131648 |
| 11 | 15590aa2a781 |
| 12 | 6b113246000 |
| 13 | 31578199557 |
| 14 | 16a729d4520 |
| 15 | b2447192d3 |
| hex | 63d2b97480 |
428737131648 has 768 divisors, whose sum is σ = 1565316480000. Its totient is φ = 114079518720.
The previous prime is 428737131631. The next prime is 428737131649. The reversal of 428737131648 is 846131737824.
428737131648 is a `hidden beast` number, since 4 + 287 + 3 + 7 + 1 + 316 + 48 = 666.
It is a hoax number, since the sum of its digits (54) 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 (54).
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 = 428737131594 and 428737131603.
It is not an unprimeable number, because it can be changed into a prime (428737131649) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252345903 + ... + 252347601.
It is an arithmetic number, because the mean of its divisors is an integer number (2038172500).
Almost surely, 2428737131648 is an apocalyptic number.
428737131648 is a gapful number since it is divisible by the number (48) 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 428737131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782658240000).
428737131648 is an abundant number, since it is smaller than the sum of its proper divisors (1136579348352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428737131648 is a wasteful number, since it uses less digits than its factorization.
428737131648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1815 (or 1791 counting only the distinct ones).
The product of its digits is 5419008, while the sum is 54.
The spelling of 428737131648 in words is "four hundred twenty-eight billion, seven hundred thirty-seven million, one hundred thirty-one thousand, six hundred forty-eight".
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