Search a number
-
+
28808766 = 2327289367
BaseRepresentation
bin110110111100…
…1011000111110
32000012122012100
41231321120332
524333340031
62505245530
7466604400
oct155713076
960178170
1028808766
11152974a8
1297938a6
135c78a0c
143b7cb70
1527e0de6
hex1b7963e

28808766 has 72 divisors (see below), whose sum is σ = 73625760. Its totient is φ = 8116416.

The previous prime is 28808749. The next prime is 28808779. The reversal of 28808766 is 66780882.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78315 + ... + 78681.

It is an arithmetic number, because the mean of its divisors is an integer number (1022580).

Almost surely, 228808766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28808766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36812880).

28808766 is an abundant number, since it is smaller than the sum of its proper divisors (44816994).

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

28808766 is a wasteful number, since it uses less digits than its factorization.

28808766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

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

The square root of 28808766 is about 5367.3798076902. The cubic root of 28808766 is about 306.5548691938.

It can be divided in two parts, 2880876 and 6, that added together give a palindrome (2880882).

The spelling of 28808766 in words is "twenty-eight million, eight hundred eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 89 98 126 147 178 267 294 367 441 534 623 734 801 882 1101 1246 1602 1869 2202 2569 3303 3738 4361 5138 5607 6606 7707 8722 11214 13083 15414 17983 23121 26166 32663 35966 39249 46242 53949 65326 78498 97989 107898 161847 195978 228641 293967 323694 457282 587934 685923 1371846 1600487 2057769 3200974 4115538 4801461 9602922 14404383 28808766