Search a number
-
+
28806768 = 2432251797
BaseRepresentation
bin110110111100…
…0111001110000
32000012112110100
41231320321300
524333304033
62505232400
7466565514
oct155707160
960175410
1028806768
1115295a51
129792700
135c77b33
143b7c144
1527e0513
hex1b78e70

28806768 has 60 divisors (see below), whose sum is σ = 81041688. Its totient is φ = 9552000.

The previous prime is 28806761. The next prime is 28806779. The reversal of 28806768 is 86760882.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28806761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35746 + ... + 36542.

Almost surely, 228806768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28806768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844).

28806768 is an abundant number, since it is smaller than the sum of its proper divisors (52234920).

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

28806768 is a wasteful number, since it uses less digits than its factorization.

28806768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1053 counting only the distinct ones).

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

The square root of 28806768 is about 5367.1936801274. The cubic root of 28806768 is about 306.5477821057.

The spelling of 28806768 in words is "twenty-eight million, eight hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 797 1004 1506 1594 2008 2259 2391 3012 3188 4016 4518 4782 6024 6376 7173 9036 9564 12048 12752 14346 18072 19128 28692 36144 38256 57384 114768 200047 400094 600141 800188 1200282 1600376 1800423 2400564 3200752 3600846 4801128 7201692 9602256 14403384 28806768