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28540314 = 232111761139
BaseRepresentation
bin110110011011…
…1110110011010
31222200222221200
41230313312122
524301242224
62455415030
7464405625
oct154676632
958628850
1028540314
1115123840
129684476
135bb377a
143b0cdbc
15278b5c9
hex1b37d9a

28540314 has 96 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 7948800.

The previous prime is 28540313. The next prime is 28540319. The reversal of 28540314 is 41304582.

It is not an unprimeable number, because it can be changed into a prime (28540313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205257 + ... + 205395.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 228540314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28540314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

28540314 is an abundant number, since it is smaller than the sum of its proper divisors (44580006).

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

28540314 is a wasteful number, since it uses less digits than its factorization.

28540314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28540314 is about 5342.3135437748. The cubic root of 28540314 is about 305.5996944183.

Adding to 28540314 its reverse (41304582), we get a palindrome (69844896).

The spelling of 28540314 in words is "twenty-eight million, five hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 61 66 99 102 122 139 153 183 187 198 278 306 366 374 417 549 561 671 834 1037 1098 1122 1251 1342 1529 1683 2013 2074 2363 2502 3058 3111 3366 4026 4587 4726 6039 6222 7089 8479 9174 9333 11407 12078 13761 14178 16958 18666 21267 22814 25437 25993 27522 34221 42534 50874 51986 68442 76311 77979 93269 102663 144143 152622 155958 186538 205326 233937 279807 288286 432429 467874 559614 839421 864858 1297287 1585573 1678842 2594574 3171146 4756719 9513438 14270157 28540314