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28229580 = 2233561857
BaseRepresentation
bin110101110101…
…1111111001100
31222010012201000
41223223333030
524211321310
62445020300
7461642661
oct153537714
958105630
1028229580
1114a31335
129554690
135b051c2
143a6ba68
1527294c0
hex1aebfcc

28229580 has 96 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 7395840.

The previous prime is 28229569. The next prime is 28229599. The reversal of 28229580 is 8592282.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32512 + ... + 33368.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 228229580 is an apocalyptic number.

28229580 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 28229580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

28229580 is an abundant number, since it is smaller than the sum of its proper divisors (61139700).

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

28229580 is a wasteful number, since it uses less digits than its factorization.

28229580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28229580 is about 5313.1516070972. The cubic root of 28229580 is about 304.4865678755.

The spelling of 28229580 in words is "twenty-eight million, two hundred twenty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 857 915 1098 1220 1647 1714 1830 2196 2571 2745 3294 3428 3660 4285 5142 5490 6588 7713 8235 8570 10284 10980 12855 15426 16470 17140 23139 25710 30852 32940 38565 46278 51420 52277 77130 92556 104554 115695 154260 156831 209108 231390 261385 313662 462780 470493 522770 627324 784155 940986 1045540 1411479 1568310 1881972 2352465 2822958 3136620 4704930 5645916 7057395 9409860 14114790 28229580