Search a number
-
+
28127232 = 212327109
BaseRepresentation
bin110101101001…
…1000000000000
31221221000022100
41223103000000
524200032412
62442510400
7461035410
oct153230000
957830270
1028127232
1114971451
129505400
135a9a743
143a42640
152708edc
hex1ad3000

28127232 has 156 divisors (see below), whose sum is σ = 93705040. Its totient is φ = 7962624.

The previous prime is 28127221. The next prime is 28127249. The reversal of 28127232 is 23272182.

It is a happy number.

It is a super-2 number, since 2×281272322 = 1582282359963648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28127196 and 28127205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257994 + ... + 258102.

Almost surely, 228127232 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 28127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46852520).

28127232 is an abundant number, since it is smaller than the sum of its proper divisors (65577808).

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

28127232 is a wasteful number, since it uses less digits than its factorization.

28127232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 28127232 is about 5303.5112897023. The cubic root of 28127232 is about 304.1181442917.

It can be divided in two parts, 28 and 127232, that added together give a triangular number (127260 = T504).

The spelling of 28127232 in words is "twenty-eight million, one hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 109 112 126 128 144 168 192 218 224 252 256 288 327 336 384 436 448 504 512 576 654 672 763 768 872 896 981 1008 1024 1152 1308 1344 1526 1536 1744 1792 1962 2016 2048 2289 2304 2616 2688 3052 3072 3488 3584 3924 4032 4096 4578 4608 5232 5376 6104 6144 6867 6976 7168 7848 8064 9156 9216 10464 10752 12208 12288 13734 13952 14336 15696 16128 18312 18432 20928 21504 24416 27468 27904 28672 31392 32256 36624 36864 41856 43008 48832 54936 55808 62784 64512 73248 83712 86016 97664 109872 111616 125568 129024 146496 167424 195328 219744 223232 251136 258048 292992 334848 390656 439488 446464 502272 585984 669696 781312 878976 1004544 1171968 1339392 1562624 1757952 2009088 2343936 3125248 3515904 4018176 4687872 7031808 9375744 14063616 28127232