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28687806 = 23271759227
BaseRepresentation
bin110110101101…
…1110110111110
31222222111021100
41231123312332
524321002211
62502513530
7465561630
oct155336676
958874240
1028687806
1115214634
1297358a6
135c35944
143b4aa50
1527ba156
hex1b5bdbe

28687806 has 96 divisors (see below), whose sum is σ = 76826880. Its totient is φ = 7550208.

The previous prime is 28687801. The next prime is 28687807. The reversal of 28687806 is 60878682.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28687801) 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, 126265 + ... + 126491.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 228687806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28687806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).

28687806 is an abundant number, since it is smaller than the sum of its proper divisors (48139074).

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

28687806 is a wasteful number, since it uses less digits than its factorization.

28687806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 28687806 is about 5356.0998870447. The cubic root of 28687806 is about 306.1252210813.

The spelling of 28687806 in words is "twenty-eight million, six hundred eighty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 59 63 102 118 119 126 153 177 227 238 306 354 357 413 454 531 681 714 826 1003 1062 1071 1239 1362 1589 2006 2043 2142 2478 3009 3178 3717 3859 4086 4767 6018 7021 7434 7718 9027 9534 11577 13393 14042 14301 18054 21063 23154 26786 27013 28602 34731 40179 42126 54026 63189 69462 80358 81039 93751 120537 126378 162078 187502 227681 241074 243117 281253 455362 486234 562506 683043 843759 1366086 1593767 1687518 2049129 3187534 4098258 4781301 9562602 14343903 28687806