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28734720 = 283571069
BaseRepresentation
bin110110110011…
…1010100000000
32000001212121220
41231213110000
524324002340
62503515040
7466145460
oct155472400
960055556
1028734720
1115246903
129758a80
135c510c1
143b5dba0
1527c8ed0
hex1b67500

28734720 has 144 divisors (see below), whose sum is σ = 104979840. Its totient is φ = 6561792.

The previous prime is 28734703. The next prime is 28734733. The reversal of 28734720 is 2743782.

It is a super-3 number, since 3×287347203 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26346 + ... + 27414.

Almost surely, 228734720 is an apocalyptic number.

28734720 is a gapful number since it is divisible by the number (20) 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 28734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52489920).

28734720 is an abundant number, since it is smaller than the sum of its proper divisors (76245120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28734720 is a wasteful number, since it uses less digits than its factorization.

28734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 28734720 is about 5360.4775906630. The cubic root of 28734720 is about 306.2920020137.

The spelling of 28734720 in words is "twenty-eight million, seven hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1069 1120 1280 1344 1680 1792 1920 2138 2240 2688 3207 3360 3840 4276 4480 5345 5376 6414 6720 7483 8552 8960 10690 12828 13440 14966 16035 17104 21380 22449 25656 26880 29932 32070 34208 37415 42760 44898 51312 59864 64140 68416 74830 85520 89796 102624 112245 119728 128280 136832 149660 171040 179592 205248 224490 239456 256560 273664 299320 342080 359184 410496 448980 478912 513120 598640 684160 718368 820992 897960 957824 1026240 1197280 1368320 1436736 1795920 1915648 2052480 2394560 2873472 3591840 4104960 4789120 5746944 7183680 9578240 14367360 28734720