Search a number
-
+
28876320 = 25325111823
BaseRepresentation
bin110111000100…
…1111000100000
32000100001212100
41232021320200
524343020240
62510530400
7500305344
oct156117040
960301770
1028876320
1115333230
129806a00
135ca06a5
143b99624
152805e30
hex1b89e20

28876320 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 6996480.

The previous prime is 28876307. The next prime is 28876327. The reversal of 28876320 is 2367882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28876327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14929 + ... + 16751.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 228876320 is an apocalyptic number.

28876320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

28876320 is an abundant number, since it is smaller than the sum of its proper divisors (78681312).

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

28876320 is a wasteful number, since it uses less digits than its factorization.

28876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28876320 is about 5373.6691375633. The cubic root of 28876320 is about 306.7942968013.

The spelling of 28876320 in words is "twenty-eight million, eight hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1823 1980 2640 3168 3646 3960 5280 5469 7292 7920 9115 10938 14584 15840 16407 18230 20053 21876 27345 29168 32814 36460 40106 43752 54690 58336 60159 65628 72920 80212 82035 87504 100265 109380 120318 131256 145840 160424 164070 175008 180477 200530 218760 240636 262512 291680 300795 320848 328140 360954 401060 437520 481272 525024 601590 641696 656280 721908 802120 875040 902385 962544 1203180 1312560 1443816 1604240 1804770 1925088 2406360 2625120 2887632 3208480 3609540 4812720 5775264 7219080 9625440 14438160 28876320