Search a number
-
+
28128168 = 2333130223
BaseRepresentation
bin110101101001…
…1001110101000
31221221001121000
41223103032220
524200100133
62442515000
7461041215
oct153231650
957831530
1028128168
1114972122
129505a60
135a9acb3
143a42b0c
152709413
hex1ad33a8

28128168 has 32 divisors (see below), whose sum is σ = 78134400. Its totient is φ = 9375984.

The previous prime is 28128161. The next prime is 28128181. The reversal of 28128168 is 86182182.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (28128161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64896 + ... + 65327.

It is an arithmetic number, because the mean of its divisors is an integer number (2441700).

Almost surely, 228128168 is an apocalyptic number.

It is an amenable number.

28128168 is an abundant number, since it is smaller than the sum of its proper divisors (50006232).

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

28128168 is a wasteful number, since it uses less digits than its factorization.

28128168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130238 (or 130228 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 28128168 is about 5303.5995323931. The cubic root of 28128168 is about 304.1215176705.

The spelling of 28128168 in words is "twenty-eight million, one hundred twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 130223 260446 390669 520892 781338 1041784 1172007 1562676 2344014 3125352 3516021 4688028 7032042 9376056 14064084 28128168