Search a number
-
+
28088082 = 232111271117
BaseRepresentation
bin110101100100…
…1011100010010
31221212000121100
41223021130102
524142304312
62442005230
7460513311
oct153113422
957760540
1028088082
1114944aa0
1294a6816
135a85989
143a32278
1526ec5dc
hex1ac9712

28088082 has 48 divisors (see below), whose sum is σ = 66972672. Its totient is φ = 8436960.

The previous prime is 28088059. The next prime is 28088087.

28088082 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (28088087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24588 + ... + 25704.

It is an arithmetic number, because the mean of its divisors is an integer number (1395264).

Almost surely, 228088082 is an apocalyptic number.

28088082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28088082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33486336).

28088082 is an abundant number, since it is smaller than the sum of its proper divisors (38884590).

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

28088082 is a wasteful number, since it uses less digits than its factorization.

28088082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1260 counting only the distinct ones).

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

The square root of 28088082 is about 5299.8190535149. The cubic root of 28088082 is about 303.9769791547.

The spelling of 28088082 in words is "twenty-eight million, eighty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1117 1143 1397 2234 2286 2794 3351 4191 6702 8382 10053 12287 12573 20106 24574 25146 36861 73722 110583 141859 221166 283718 425577 851154 1276731 1560449 2553462 3120898 4681347 9362694 14044041 28088082