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28955760 = 24351747151
BaseRepresentation
bin110111001110…
…1010001110000
32000111002211120
41232131101300
524403041020
62512342240
7501056061
oct156352160
960432746
1028955760
1115387989
129844980
135cca8b2
143bba568
15281e740
hex1b9d470

28955760 has 160 divisors (see below), whose sum is σ = 97708032. Its totient is φ = 7065600.

The previous prime is 28955737. The next prime is 28955819. The reversal of 28955760 is 6755982.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191685 + ... + 191835.

Almost surely, 228955760 is an apocalyptic number.

28955760 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 28955760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016).

28955760 is an abundant number, since it is smaller than the sum of its proper divisors (68752272).

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

28955760 is a wasteful number, since it uses less digits than its factorization.

28955760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 28955760 is about 5381.0556585116. The cubic root of 28955760 is about 307.0753739815.

The spelling of 28955760 in words is "twenty-eight million, nine hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 80 85 94 102 120 136 141 151 170 188 204 235 240 255 272 282 302 340 376 408 453 470 510 564 604 680 705 752 755 799 816 906 940 1020 1128 1208 1360 1410 1510 1598 1812 1880 2040 2256 2265 2397 2416 2567 2820 3020 3196 3624 3760 3995 4080 4530 4794 5134 5640 6040 6392 7097 7248 7701 7990 9060 9588 10268 11280 11985 12080 12784 12835 14194 15402 15980 18120 19176 20536 21291 23970 25670 28388 30804 31960 35485 36240 38352 38505 41072 42582 47940 51340 56776 61608 63920 70970 77010 85164 95880 102680 106455 113552 120649 123216 141940 154020 170328 191760 205360 212910 241298 283880 308040 340656 361947 425820 482596 567760 603245 616080 723894 851640 965192 1206490 1447788 1703280 1809735 1930384 2412980 2895576 3619470 4825960 5791152 7238940 9651920 14477880 28955760