Search a number
-
+
28666820 = 22571319829
BaseRepresentation
bin110110101011…
…0101111000100
31222221102111002
41231112233010
524314314240
62502232432
7465443510
oct155265704
958842432
1028666820
11151aa896
129725718
135c29220
143b43140
1527b3d15
hex1b56bc4

28666820 has 96 divisors (see below), whose sum is σ = 78086400. Its totient is φ = 8584704.

The previous prime is 28666817. The next prime is 28666837. The reversal of 28666820 is 2866682.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34166 + ... + 34994.

It is an arithmetic number, because the mean of its divisors is an integer number (813400).

Almost surely, 228666820 is an apocalyptic number.

28666820 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 28666820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39043200).

28666820 is an abundant number, since it is smaller than the sum of its proper divisors (49419580).

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

28666820 is a wasteful number, since it uses less digits than its factorization.

28666820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 28666820 is about 5354.1404538917. The cubic root of 28666820 is about 306.0505562445.

The spelling of 28666820 in words is "twenty-eight million, six hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 829 910 988 1235 1330 1658 1729 1820 2470 2660 3316 3458 4145 4940 5803 6916 8290 8645 10777 11606 15751 16580 17290 21554 23212 29015 31502 34580 43108 53885 58030 63004 75439 78755 107770 110257 116060 150878 157510 204763 215540 220514 301756 315020 377195 409526 441028 551285 754390 819052 1023815 1102570 1433341 1508780 2047630 2205140 2866682 4095260 5733364 7166705 14333410 28666820