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28730160 = 2433547283
BaseRepresentation
bin110110110011…
…0001100110000
32000001122101000
41231212030300
524323331120
62503442000
7466126254
oct155461460
960048330
1028730160
1115243438
129756300
135c4bcc4
143b5c264
1527c7990
hex1b66330

28730160 has 160 divisors (see below), whose sum is σ = 101422080. Its totient is φ = 7471872.

The previous prime is 28730131. The next prime is 28730161. The reversal of 28730160 is 6103782.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28730161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101379 + ... + 101661.

It is an arithmetic number, because the mean of its divisors is an integer number (633888).

Almost surely, 228730160 is an apocalyptic number.

28730160 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 28730160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50711040).

28730160 is an abundant number, since it is smaller than the sum of its proper divisors (72691920).

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

28730160 is a wasteful number, since it uses less digits than its factorization.

28730160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 28730160 is about 5360.0522385514. The cubic root of 28730160 is about 306.2757990205.

The spelling of 28730160 in words is "twenty-eight million, seven hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 283 360 376 423 432 470 540 564 566 705 720 752 846 849 940 1080 1128 1132 1269 1410 1415 1692 1698 1880 2115 2160 2256 2264 2538 2547 2820 2830 3384 3396 3760 4230 4245 4528 5076 5094 5640 5660 6345 6768 6792 7641 8460 8490 10152 10188 11280 11320 12690 12735 13301 13584 15282 16920 16980 20304 20376 22640 25380 25470 26602 30564 33840 33960 38205 39903 40752 50760 50940 53204 61128 66505 67920 76410 79806 101520 101880 106408 119709 122256 133010 152820 159612 199515 203760 212816 239418 266020 305640 319224 359127 399030 478836 532040 598545 611280 638448 718254 798060 957672 1064080 1197090 1436508 1596120 1795635 1915344 2394180 2873016 3192240 3591270 4788360 5746032 7182540 9576720 14365080 28730160