Search a number
-
+
28314792 = 23331117701
BaseRepresentation
bin110110000000…
…0110010101000
31222021112121000
41230000302220
524222033132
62450515000
7462446262
oct154006250
958245530
1028314792
1114a8a360
129595a60
135b34c1c
143a90b32
15274487c
hex1b00ca8

28314792 has 128 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 8064000.

The previous prime is 28314779. The next prime is 28314799. The reversal of 28314792 is 29741382.

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 (28314799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40042 + ... + 40742.

It is an arithmetic number, because the mean of its divisors is an integer number (710775).

Almost surely, 228314792 is an apocalyptic number.

28314792 is a gapful number since it is divisible by the number (22) 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 28314792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

28314792 is an abundant number, since it is smaller than the sum of its proper divisors (62664408).

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

28314792 is a wasteful number, since it uses less digits than its factorization.

28314792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 28314792 is about 5321.1645341974. The cubic root of 28314792 is about 304.7926280070.

The spelling of 28314792 in words is "twenty-eight million, three hundred fourteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 701 748 792 918 1122 1188 1224 1402 1496 1683 1836 2103 2244 2376 2804 3366 3672 4206 4488 5049 5608 6309 6732 7711 8412 10098 11917 12618 13464 15422 16824 18927 20196 23133 23834 25236 30844 35751 37854 40392 46266 47668 50472 61688 69399 71502 75708 92532 95336 107253 131087 138798 143004 151416 185064 208197 214506 262174 277596 286008 321759 393261 416394 429012 524348 555192 643518 786522 832788 858024 1048696 1179783 1287036 1573044 1665576 2359566 2574072 3146088 3539349 4719132 7078698 9438264 14157396 28314792