Search a number
-
+
28667916 = 223217139337
BaseRepresentation
bin110110101011…
…1000000001100
31222221110222200
41231113000030
524314333131
62502241500
7465446634
oct155270014
958843880
1028667916
11152006a2
129726290
135c29884
143b436c4
1527b42e6
hex1b5700c

28667916 has 72 divisors (see below), whose sum is σ = 77510160. Its totient is φ = 8902656.

The previous prime is 28667911. The next prime is 28667917. The reversal of 28667916 is 61976682.

It is not an unprimeable number, because it can be changed into a prime (28667911) 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 23 ways as a sum of consecutive naturals, for example, 84900 + ... + 85236.

It is an arithmetic number, because the mean of its divisors is an integer number (1076530).

Almost surely, 228667916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28667916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38755080).

28667916 is an abundant number, since it is smaller than the sum of its proper divisors (48842244).

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

28667916 is a wasteful number, since it uses less digits than its factorization.

28667916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 28667916 is about 5354.2428036091. The cubic root of 28667916 is about 306.0544565391.

The spelling of 28667916 in words is "twenty-eight million, six hundred sixty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 139 153 204 278 306 337 417 556 612 674 834 1011 1251 1348 1668 2022 2363 2502 3033 4044 4726 5004 5729 6066 7089 9452 11458 12132 14178 17187 21267 22916 28356 34374 42534 46843 51561 68748 85068 93686 103122 140529 187372 206244 281058 421587 562116 796331 843174 1592662 1686348 2388993 3185324 4777986 7166979 9555972 14333958 28667916