728448000
728,448,000 is an even composite number composed of five prime numbers multiplied together.
728448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 728448000:
210 × 3 × 53 × 7 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 271)See below for interesting mathematical facts about the number 728448000 from the Numbermatics database.
Names of 728448000
- Cardinal: 728448000 can be written as Seven hundred twenty-eight million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 7.28448 × 108
Factors of 728448000
Divisors of 728448000
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 256 271 280 300 320 336 350 375 384 400 420 448 480 500 512 525 542 560 600 640 672 700 750 768 800 813 840 875 896 960 1000 1024 1050 1084 1120 1200 1280 1344 1355 1400 1500 1536 1600 1626 1680 1750 1792 1897 1920 2000 2100 2168 2240 2400 2560 2625 2688 2710 2800 3000 3072 3200 3252 3360 3500 3584 3794 3840 4000 4065 4200 4336 4480 4800 5120 5250 5376 5420 5600 5691 6000 6400 6504 6720 6775 7000 7168 7588 7680 8000 8130 8400 8672 8960 9485 9600 10500 10752 10840 11200 11382 12000 12800 13008 13440 13550 14000 15176 15360 16000 16260 16800 17344 17920 18970 19200 20325 21000 21504 21680 22400 22764 24000 25600 26016 26880 27100 28000 28455 30352 32000 32520 33600 33875 34688 35840 37940 38400 40650 42000 43360 44800 45528 47425 48000 52032 53760 54200 56000 56910 60704 64000 65040 67200 67750 69376 75880 76800 81300 84000 86720 89600 91056 94850 96000 101625 104064 107520 108400 112000 113820 121408 128000 130080 134400 135500 138752 142275 151760 162600 168000 173440 179200 182112 189700 192000 203250 208128 216800 224000 227640 237125 242816 260160 268800 271000 277504 284550 303520 325200 336000 346880 364224 379400 384000 406500 416256 433600 448000 455280 474250 485632 520320 537600 542000 569100 607040 650400 672000 693760 711375 728448 758800 813000 832512 867200 896000 910560 948500 971264 1040640 1084000 1138200 1214080 1300800 1344000 1387520 1422750 1456896 1517600 1626000 1734400 1821120 1897000 1942528 2081280 2168000 2276400 2428160 2601600 2688000 2845500 2913792 3035200 3252000 3468800 3642240 3794000 4162560 4336000 4552800 4856320 5203200 5691000 5827584 6070400 6504000 6937600 7284480 7588000 8672000 9105600 9712640 10406400 11382000 12140800 13008000 14568960 15176000 17344000 18211200 20812800 22764000 24281600 26016000 29137920 30352000 34688000 36422400 45528000 48563200 52032000 60704000 72844800 91056000 104064000 121408000 145689600 182112000 242816000 364224000 728448000
- Sum of all divisors σ(n): 2779465728
- Sum of proper divisors (its aliquot sum) s(n): 2051017728
- 728448000 is an abundant number, because the sum of its proper divisors (2051017728) is greater than itself. Its abundance is 1322569728
Bases of 728448000
- Binary: 1010110110101100111100000000002
- Hexadecimal: 0x2B6B3C00
- Base-36: C1P62O
Squares and roots of 728448000
- 728448000 squared (7284480002) is 530636488704000000
- 728448000 cubed (7284480003) is 386541088923451392000000000
-
The
square root of 728448000 is 26989.7758419739 -
The
cube root of 728448000 is 899.7727821467
Scales and comparisons
How big is 728448000?- 728,448,000 seconds is equal to 23 years, 8 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 728,448,000 would take you about thirty-four 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 728448000 cubic inches would be around 75 feet tall.
Recreational maths with 728448000
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 728448000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 728448000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/728448000/
Chicago style:
Numbermatics. 2024. "Number 728448000 - Facts about the integer". https://numbermatics.com/n/728448000/
The information we have on file for 728448000 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 728448000, math, Factors of 728448000, curriculum, school, college, exams, university, Prime factorization of 728448000, STEM, science, technology, engineering, physics, economics, calculator, seven hundred twenty-eight million, four hundred forty-eight thousand.