428864800
428,864,800 is an even composite number composed of six prime numbers multiplied together.
428864800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428864800:
25 × 52 × 7 × 13 × 43 × 137
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 43 × 137)See below for interesting mathematical facts about the number 428864800 from the Numbermatics database.
Names of 428864800
- Cardinal: 428864800 can be written as Four hundred twenty-eight million, eight hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.288648 × 108
Factors of 428864800
Divisors of 428864800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 43 50 52 56 65 70 80 86 91 100 104 112 130 137 140 160 172 175 182 200 208 215 224 260 274 280 301 325 344 350 364 400 416 430 455 520 548 559 560 602 650 685 688 700 728 800 860 910 959 1040 1075 1096 1118 1120 1204 1300 1370 1376 1400 1456 1505 1720 1781 1820 1918 2080 2150 2192 2236 2275 2408 2600 2740 2795 2800 2912 3010 3425 3440 3562 3640 3836 3913 4300 4384 4472 4550 4795 4816 5200 5480 5590 5600 5891 6020 6850 6880 7124 7280 7525 7672 7826 8600 8905 8944 9100 9590 9632 10400 10960 11180 11782 12040 12467 13700 13975 14248 14560 15050 15344 15652 17200 17810 17888 18200 19180 19565 21920 22360 23564 23975 24080 24934 27400 27950 28496 29455 30100 30688 31304 34400 35620 36400 38360 39130 41237 44525 44720 47128 47950 48160 49868 54800 55900 56992 58910 60200 62335 62608 71240 72800 76583 76720 78260 82474 89050 89440 94256 95900 97825 99736 109600 111800 117820 120400 124670 125216 142480 147275 153166 153440 156520 164948 178100 188512 191800 195650 199472 206185 223600 235640 240800 249340 284960 294550 306332 311675 313040 329896 356200 382915 383600 391300 398944 412370 447200 471280 498680 536081 589100 612664 623350 626080 659792 712400 765830 767200 782600 824740 942560 997360 1030925 1072162 1178200 1225328 1246700 1319584 1424800 1531660 1565200 1649480 1914575 1994720 2061850 2144324 2356400 2450656 2493400 2680405 3063320 3130400 3298960 3829150 4123700 4288648 4712800 4986800 5360810 6126640 6597920 7658300 8247400 8577296 9973600 10721620 12253280 13402025 15316600 16494800 17154592 21443240 26804050 30633200 32989600 42886480 53608100 61266400 85772960 107216200 214432400 428864800
- Sum of all divisors σ(n): 1328164992
- Sum of proper divisors (its aliquot sum) s(n): 899300192
- 428864800 is an abundant number, because the sum of its proper divisors (899300192) is greater than itself. Its abundance is 470435392
Bases of 428864800
- Binary: 110011000111111110101001000002
- Hexadecimal: 0x198FF520
- Base-36: 73C274
Squares and roots of 428864800
- 428864800 squared (4288648002) is 183925016679040000
- 428864800 cubed (4288648003) is 78878965493053153792000000
-
The
square root of 428864800 is 20709.0511612677 -
The
cube root of 428864800 is 754.1194359415
Scales and comparisons
How big is 428864800?- 428,864,800 seconds is equal to 13 years, 33 weeks, 17 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,864,800 would take you about twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428864800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428864800
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428864800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 428864800 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/428864800/
Chicago style:
Numbermatics. 2024. "Number 428864800 - Facts about the integer". https://numbermatics.com/n/428864800/
The information we have on file for 428864800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 428864800, math, Factors of 428864800, curriculum, school, college, exams, university, Prime factorization of 428864800, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, eight hundred sixty-four thousand, eight hundred.