Search a number
-
+
28826784 = 2532779181
BaseRepresentation
bin110110111110…
…1110010100000
32000020112220200
41231331302200
524334424114
62505505200
7500011050
oct155756240
960215820
1028826784
11152a9a98
1297a2200
135c83c8c
143b85560
1527e6409
hex1b7dca0

28826784 has 144 divisors (see below), whose sum is σ = 95397120. Its totient is φ = 8087040.

The previous prime is 28826779. The next prime is 28826801. The reversal of 28826784 is 48762882.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159174 + ... + 159354.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 228826784 is an apocalyptic number.

28826784 is a gapful number since it is divisible by the number (24) 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 28826784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698560).

28826784 is an abundant number, since it is smaller than the sum of its proper divisors (66570336).

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

28826784 is a wasteful number, since it uses less digits than its factorization.

28826784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 28826784 is about 5369.0580179395. The cubic root of 28826784 is about 306.6187658853.

It can be divided in two parts, 288 and 26784, that added together give a palindrome (27072).

The spelling of 28826784 in words is "twenty-eight million, eight hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 181 224 237 252 288 316 336 362 474 504 543 553 632 672 711 724 948 1008 1086 1106 1264 1267 1422 1448 1629 1659 1896 2016 2172 2212 2528 2534 2844 2896 3258 3318 3792 3801 4344 4424 4977 5068 5688 5792 6516 6636 7584 7602 8688 8848 9954 10136 11376 11403 13032 13272 14299 15204 17376 17696 19908 20272 22752 22806 26064 26544 28598 30408 39816 40544 42897 45612 52128 53088 57196 60816 79632 85794 91224 100093 114392 121632 128691 159264 171588 182448 200186 228784 257382 300279 343176 364896 400372 457568 514764 600558 686352 800744 900837 1029528 1201116 1372704 1601488 1801674 2059056 2402232 3202976 3603348 4118112 4804464 7206696 9608928 14413392 28826784