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28851680 = 2551113297
BaseRepresentation
bin110111000001…
…1110111100000
32000021211001202
41232003313200
524341223210
62510220332
7500143454
oct156036740
960254052
1028851680
1115316770
1297b46a8
135c92400
143b90664
1527ed9a5
hex1b83de0

28851680 has 144 divisors (see below), whose sum is σ = 81348624. Its totient is φ = 9584640.

The previous prime is 28851677. The next prime is 28851689. The reversal of 28851680 is 8615882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28851689) 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 23 ways as a sum of consecutive naturals, for example, 297392 + ... + 297488.

It is an arithmetic number, because the mean of its divisors is an integer number (564921).

Almost surely, 228851680 is an apocalyptic number.

28851680 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 28851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40674312).

28851680 is an abundant number, since it is smaller than the sum of its proper divisors (52496944).

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

28851680 is a wasteful number, since it uses less digits than its factorization.

28851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 28851680 is about 5371.3759875846. The cubic root of 28851680 is about 306.7070100253.

The spelling of 28851680 in words is "twenty-eight million, eight hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 97 104 110 130 143 160 169 176 194 208 220 260 286 338 352 388 416 440 485 520 572 676 715 776 845 880 970 1040 1067 1144 1261 1352 1430 1552 1690 1760 1859 1940 2080 2134 2288 2522 2704 2860 3104 3380 3718 3880 4268 4576 5044 5335 5408 5720 6305 6760 7436 7760 8536 9295 10088 10670 11440 12610 13520 13871 14872 15520 16393 17072 18590 20176 21340 22880 25220 27040 27742 29744 32786 34144 37180 40352 42680 50440 55484 59488 65572 69355 74360 81965 85360 100880 110968 131144 138710 148720 163930 170720 180323 201760 221936 262288 277420 297440 327860 360646 443872 524576 554840 655720 721292 901615 1109680 1311440 1442584 1803230 2219360 2622880 2885168 3606460 5770336 7212920 14425840 28851680