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28497168 = 24327171663
BaseRepresentation
bin110110010110…
…1010100010000
31222121210202200
41230231110100
524243402133
62454443200
7464136060
oct154552420
958553680
1028497168
11150a4387
129663500
135b99c3b
143adb3a0
15277d913
hex1b2d510

28497168 has 120 divisors (see below), whose sum is σ = 96565248. Its totient is φ = 7658496.

The previous prime is 28497163. The next prime is 28497179. The reversal of 28497168 is 86179482.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (28497163) 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, 16305 + ... + 17967.

Almost surely, 228497168 is an apocalyptic number.

28497168 is a gapful number since it is divisible by the number (28) 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 28497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48282624).

28497168 is an abundant number, since it is smaller than the sum of its proper divisors (68068080).

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

28497168 is a wasteful number, since it uses less digits than its factorization.

28497168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1692 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 28497168 is about 5338.2738783243. The cubic root of 28497168 is about 305.4456193279.

The spelling of 28497168 in words is "twenty-eight million, four hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1663 1904 2142 2448 2856 3326 4284 4989 5712 6652 8568 9978 11641 13304 14967 17136 19956 23282 26608 28271 29934 34923 39912 46564 56542 59868 69846 79824 84813 93128 104769 113084 119736 139692 169626 186256 197897 209538 226168 239472 254439 279384 339252 395794 419076 452336 508878 558768 593691 678504 791588 838152 1017756 1187382 1357008 1583176 1676304 1781073 2035512 2374764 3166352 3562146 4071024 4749528 7124292 9499056 14248584 28497168