Search a number
-
+
28168824 = 2336171271
BaseRepresentation
bin110101101110…
…1001001111000
31222000010100210
41223131021320
524202400244
62443431120
7461300565
oct153351170
958003323
1028168824
111499a722
1295254a0
135ab3658
143a5386c
1527164b9
hex1add278

28168824 has 64 divisors (see below), whose sum is σ = 72852480. Its totient is φ = 9072000.

The previous prime is 28168823. The next prime is 28168841. The reversal of 28168824 is 42886182.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28168823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103809 + ... + 104079.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 228168824 is an apocalyptic number.

28168824 is a gapful number since it is divisible by the number (24) 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 28168824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

28168824 is an abundant number, since it is smaller than the sum of its proper divisors (44683656).

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

28168824 is a wasteful number, since it uses less digits than its factorization.

28168824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 28168824 is about 5307.4310169799. The cubic root of 28168824 is about 304.2679712435.

The spelling of 28168824 in words is "twenty-eight million, one hundred sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 71 122 142 183 213 244 271 284 366 426 488 542 568 732 813 852 1084 1464 1626 1704 2168 3252 4331 6504 8662 12993 16531 17324 19241 25986 33062 34648 38482 49593 51972 57723 66124 76964 99186 103944 115446 132248 153928 198372 230892 396744 461784 1173701 2347402 3521103 4694804 7042206 9389608 14084412 28168824