28648800
28,648,800 is an even composite number composed of five prime numbers multiplied together.
28648800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 28648800:
25 × 32 × 52 × 23 × 173
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 173)See below for interesting mathematical facts about the number 28648800 from the Numbermatics database.
Names of 28648800
- Cardinal: 28648800 can be written as Twenty-eight million, six hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.86488 × 107
Factors of 28648800
Divisors of 28648800
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 69 72 75 80 90 92 96 100 115 120 138 144 150 160 173 180 184 200 207 225 230 240 276 288 300 345 346 360 368 400 414 450 460 480 519 552 575 600 690 692 720 736 800 828 865 900 920 1035 1038 1104 1150 1200 1380 1384 1440 1557 1656 1725 1730 1800 1840 2070 2076 2208 2300 2400 2595 2760 2768 3114 3312 3450 3460 3600 3680 3979 4140 4152 4325 4600 5175 5190 5520 5536 6228 6624 6900 6920 7200 7785 7958 8280 8304 8650 9200 10350 10380 11040 11937 12456 12975 13800 13840 15570 15916 16560 16608 17300 18400 19895 20700 20760 23874 24912 25950 27600 27680 31140 31832 33120 34600 35811 38925 39790 41400 41520 47748 49824 51900 55200 59685 62280 63664 69200 71622 77850 79580 82800 83040 95496 99475 103800 119370 124560 127328 138400 143244 155700 159160 165600 179055 190992 198950 207600 238740 249120 286488 298425 311400 318320 358110 381984 397900 415200 477480 572976 596850 622800 636640 716220 795800 895275 954960 1145952 1193700 1245600 1432440 1591600 1790550 1909920 2387400 2864880 3183200 3581100 4774800 5729760 7162200 9549600 14324400 28648800
- Sum of all divisors σ(n): 106024464
- Sum of proper divisors (its aliquot sum) s(n): 77375664
- 28648800 is an abundant number, because the sum of its proper divisors (77375664) is greater than itself. Its abundance is 48726864
Bases of 28648800
- Binary: 11011010100100101011000002
- Hexadecimal: 0x1B52560
- Base-36: H21K0
Squares and roots of 28648800
- 28648800 squared (286488002) is 820753741440000
- 28648800 cubed (286488003) is 23513609787766272000000
-
The
square root of 28648800 is 5352.4573795595 -
The
cube root of 28648800 is 305.9864148781
Scales and comparisons
How big is 28648800?- 28,648,800 seconds is equal to 47 weeks, 2 days, 14 hours.
-
To count from 1 to 28,648,800 would take you about nineteen weeks!
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 28648800 cubic inches would be around 25.5 feet tall.
Recreational maths with 28648800
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