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28820880 = 24335111213
BaseRepresentation
bin110110111110…
…0010110010000
32000020020211000
41231330112100
524334232010
62505422000
7466654614
oct155742620
960206730
1028820880
11152a5610
12979a900
135c8139a
143b83344
1527e47c0
hex1b7c590

28820880 has 160 divisors (see below), whose sum is σ = 108385920. Its totient is φ = 6981120.

The previous prime is 28820873. The next prime is 28820881. The reversal of 28820880 is 8802882.

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

It is not an unprimeable number, because it can be changed into a prime (28820881) by changing a digit.

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, 23154 + ... + 24366.

It is an arithmetic number, because the mean of its divisors is an integer number (677412).

Almost surely, 228820880 is an apocalyptic number.

28820880 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 28820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54192960).

28820880 is an abundant number, since it is smaller than the sum of its proper divisors (79565040).

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

28820880 is a wasteful number, since it uses less digits than its factorization.

28820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 28820880 is about 5368.5081726677. The cubic root of 28820880 is about 306.5978316413.

The spelling of 28820880 in words is "twenty-eight million, eight hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1213 1320 1485 1584 1980 2160 2376 2426 2640 2970 3639 3960 4752 4852 5940 6065 7278 7920 9704 10917 11880 12130 13343 14556 18195 19408 21834 23760 24260 26686 29112 32751 36390 40029 43668 48520 53372 54585 58224 65502 66715 72780 80058 87336 97040 106744 109170 120087 131004 133430 145560 160116 163755 174672 200145 213488 218340 240174 262008 266860 291120 320232 327510 360261 400290 436680 480348 524016 533720 600435 640464 655020 720522 800580 873360 960696 1067440 1200870 1310040 1441044 1601160 1801305 1921392 2401740 2620080 2882088 3202320 3602610 4803480 5764176 7205220 9606960 14410440 28820880