Search a number
-
+
28113192 = 23323761173
BaseRepresentation
bin110101100111…
…1100100101000
31221220022001100
41223033210220
524144110232
62442321400
7460646442
oct153174450
957808040
1028113192
1114961948
1294b9260
135a94233
143a3b492
152704c7c
hex1acf928

28113192 has 96 divisors (see below), whose sum is σ = 79939080. Its totient is φ = 8916480.

The previous prime is 28113181. The next prime is 28113193. The reversal of 28113192 is 29131182.

It can be written as a sum of positive squares in 4 ways, for example, as 26687556 + 1425636 = 5166^2 + 1194^2 .

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

It is not an unprimeable number, because it can be changed into a prime (28113193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162418 + ... + 162590.

Almost surely, 228113192 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 28113192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39969540).

28113192 is an abundant number, since it is smaller than the sum of its proper divisors (51825888).

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

28113192 is a wasteful number, since it uses less digits than its factorization.

28113192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 28113192 is about 5302.1874731096. The cubic root of 28113192 is about 304.0675346265.

The spelling of 28113192 in words is "twenty-eight million, one hundred thirteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 61 72 74 111 122 148 173 183 222 244 296 333 346 366 444 488 519 549 666 692 732 888 1038 1098 1332 1384 1464 1557 2076 2196 2257 2664 3114 4152 4392 4514 6228 6401 6771 9028 10553 12456 12802 13542 18056 19203 20313 21106 25604 27084 31659 38406 40626 42212 51208 54168 57609 63318 76812 81252 84424 94977 115218 126636 153624 162504 189954 230436 253272 379908 390461 460872 759816 780922 1171383 1561844 2342766 3123688 3514149 4685532 7028298 9371064 14056596 28113192