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28966350 = 235273563
BaseRepresentation
bin110111001111…
…1110111001110
32000111122100210
41232133313032
524403410400
62512503250
7501132000
oct156376716
960448323
1028966350
1115394936
12984ab26
13600266a
143bc0370
152822950
hex1b9fdce

28966350 has 96 divisors (see below), whose sum is σ = 83923200. Its totient is φ = 6609120.

The previous prime is 28966319. The next prime is 28966363. The reversal of 28966350 is 5366982.

It is a junction number, because it is equal to n+sod(n) for n = 28966299 and 28966308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51169 + ... + 51731.

It is an arithmetic number, because the mean of its divisors is an integer number (874200).

Almost surely, 228966350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28966350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41961600).

28966350 is an abundant number, since it is smaller than the sum of its proper divisors (54956850).

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

28966350 is a wasteful number, since it uses less digits than its factorization.

28966350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 28966350 is about 5382.0395762202. The cubic root of 28966350 is about 307.1128050125.

The spelling of 28966350 in words is "twenty-eight million, nine hundred sixty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 343 350 490 525 563 686 735 1029 1050 1126 1225 1470 1689 1715 2058 2450 2815 3378 3430 3675 3941 5145 5630 7350 7882 8445 8575 10290 11823 14075 16890 17150 19705 23646 25725 27587 28150 39410 42225 51450 55174 59115 82761 84450 98525 118230 137935 165522 193109 197050 275870 295575 386218 413805 579327 591150 689675 827610 965545 1158654 1379350 1931090 2069025 2896635 4138050 4827725 5793270 9655450 14483175 28966350