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28966168 = 2371159797
BaseRepresentation
bin110111001111…
…1110100011000
32000111122010001
41232133310120
524403404133
62512502344
7501131320
oct156376430
960448101
1028966168
1115394790
12984a9b4
13600255a
143bc0280
15282287d
hex1b9fd18

28966168 has 64 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 11080320.

The previous prime is 28966129. The next prime is 28966169. The reversal of 28966168 is 86166982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28966169) 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, 35946 + ... + 36742.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 228966168 is an apocalyptic number.

28966168 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 28966168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

28966168 is an abundant number, since it is smaller than the sum of its proper divisors (39981032).

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

28966168 is a wasteful number, since it uses less digits than its factorization.

28966168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 28966168 is about 5382.0226681054. The cubic root of 28966168 is about 307.1121617989.

The spelling of 28966168 in words is "twenty-eight million, nine hundred sixty-six thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 308 413 472 616 649 797 826 1298 1594 1652 2596 3188 3304 4543 5192 5579 6376 8767 9086 11158 17534 18172 22316 35068 36344 44632 47023 61369 70136 94046 122738 188092 245476 329161 376184 490952 517253 658322 1034506 1316644 2069012 2633288 3620771 4138024 7241542 14483084 28966168