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28668168 = 233514747
BaseRepresentation
bin110110101011…
…1000100001000
31222221111100000
41231113010020
524314340133
62502243000
7465450444
oct155270410
958844300
1028668168
1115200901
129726460
135c29a19
143b43824
1527b4413
hex1b57108

28668168 has 48 divisors (see below), whose sum is σ = 80524080. Its totient is φ = 9555408.

The previous prime is 28668163. The next prime is 28668173. The reversal of 28668168 is 86186682.

It is an interprime number because it is at equal distance from previous prime (28668163) and next prime (28668173).

It is a super-3 number, since 3×286681683 (a number of 23 digits) contains 333 as substring.

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 (28668163) 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 11 ways as a sum of consecutive naturals, for example, 5430 + ... + 9317.

It is an arithmetic number, because the mean of its divisors is an integer number (1677585).

Almost surely, 228668168 is an apocalyptic number.

It is an amenable number.

28668168 is an abundant number, since it is smaller than the sum of its proper divisors (51855912).

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

28668168 is a wasteful number, since it uses less digits than its factorization.

28668168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768 (or 14752 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 28668168 is about 5354.2663362967. The cubic root of 28668168 is about 306.0553533082.

The spelling of 28668168 in words is "twenty-eight million, six hundred sixty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 14747 29494 44241 58988 88482 117976 132723 176964 265446 353928 398169 530892 796338 1061784 1194507 1592676 2389014 3185352 3583521 4778028 7167042 9556056 14334084 28668168