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28330680 = 23357291163
BaseRepresentation
bin110110000010…
…0101010111000
31222022100101110
41230010222320
524223040210
62451120320
7462543510
oct154045270
958270343
1028330680
1114aa0294
1295a30a0
135b3c221
143a96840
152749420
hex1b04ab8

28330680 has 128 divisors (see below), whose sum is σ = 100569600. Its totient is φ = 6246912.

The previous prime is 28330669. The next prime is 28330681. The reversal of 28330680 is 8603382.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28330681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23779 + ... + 24941.

It is an arithmetic number, because the mean of its divisors is an integer number (785700).

Almost surely, 228330680 is an apocalyptic number.

28330680 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 28330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50284800).

28330680 is an abundant number, since it is smaller than the sum of its proper divisors (72238920).

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

28330680 is a wasteful number, since it uses less digits than its factorization.

28330680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 28330680 is about 5322.6572311206. The cubic root of 28330680 is about 304.8496257746.

The spelling of 28330680 in words is "twenty-eight million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 870 1015 1160 1163 1218 1624 1740 2030 2326 2436 3045 3480 3489 4060 4652 4872 5815 6090 6978 8120 8141 9304 11630 12180 13956 16282 17445 23260 24360 24423 27912 32564 33727 34890 40705 46520 48846 65128 67454 69780 81410 97692 101181 122115 134908 139560 162820 168635 195384 202362 236089 244230 269816 325640 337270 404724 472178 488460 505905 674540 708267 809448 944356 976920 1011810 1180445 1349080 1416534 1888712 2023620 2360890 2833068 3541335 4047240 4721780 5666136 7082670 9443560 14165340 28330680