Search a number
-
+
28158732 = 22337217313
BaseRepresentation
bin110101101101…
…0101100001100
31221222121112000
41223122230030
524202034412
62443312300
7461226300
oct153325414
957877460
1028158732
1114993088
12951b690
135aabb94
143a4dd00
1527134dc
hex1adab0c

28158732 has 144 divisors (see below), whose sum is σ = 90205920. Its totient is φ = 7547904.

The previous prime is 28158727. The next prime is 28158737. The reversal of 28158732 is 23785182.

It is an interprime number because it is at equal distance from previous prime (28158727) and next prime (28158737).

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 (28158737) 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 47 ways as a sum of consecutive naturals, for example, 89808 + ... + 90120.

It is an arithmetic number, because the mean of its divisors is an integer number (626430).

Almost surely, 228158732 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 28158732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45102960).

28158732 is an abundant number, since it is smaller than the sum of its proper divisors (62047188).

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

28158732 is a wasteful number, since it uses less digits than its factorization.

28158732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 28158732 is about 5306.4801893534. The cubic root of 28158732 is about 304.2316303684.

The spelling of 28158732 in words is "twenty-eight million, one hundred fifty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 49 51 54 63 68 84 98 102 108 119 126 147 153 189 196 204 238 252 294 306 313 357 378 441 459 476 588 612 626 714 756 833 882 918 939 1071 1252 1323 1428 1666 1764 1836 1878 2142 2191 2499 2646 2817 3213 3332 3756 4284 4382 4998 5292 5321 5634 6426 6573 7497 8451 8764 9996 10642 11268 12852 13146 14994 15337 15963 16902 19719 21284 22491 26292 29988 30674 31926 33804 37247 39438 44982 46011 47889 59157 61348 63852 74494 78876 89964 92022 95778 111741 118314 138033 143667 148988 184044 191556 223482 236628 260729 276066 287334 335223 414099 446964 521458 552132 574668 670446 782187 828198 1005669 1042916 1340892 1564374 1656396 2011338 2346561 3128748 4022676 4693122 7039683 9386244 14079366 28158732