Search a number
-
+
28335312 = 2433107613
BaseRepresentation
bin110110000010…
…1110011010000
31222022120202000
41230011303100
524223212222
62451154000
7462563145
oct154056320
958276660
1028335312
1114aa3815
1295a5900
135b41375
143a983cc
15274a9ac
hex1b05cd0

28335312 has 80 divisors (see below), whose sum is σ = 82226880. Its totient is φ = 9341568.

The previous prime is 28335283. The next prime is 28335317. The reversal of 28335312 is 21353382.

It is a super-2 number, since 2×283353122 = 1605779812274688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28335317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45918 + ... + 46530.

It is an arithmetic number, because the mean of its divisors is an integer number (1027836).

Almost surely, 228335312 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 28335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41113440).

28335312 is an abundant number, since it is smaller than the sum of its proper divisors (53891568).

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

28335312 is a wasteful number, since it uses less digits than its factorization.

28335312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 28335312 is about 5323.0923343485. The cubic root of 28335312 is about 304.8662389365.

Adding to 28335312 its reverse (21353382), we get a palindrome (49688694).

The spelling of 28335312 in words is "twenty-eight million, three hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 613 642 856 963 1226 1284 1712 1839 1926 2452 2568 2889 3678 3852 4904 5136 5517 5778 7356 7704 9808 11034 11556 14712 15408 16551 22068 23112 29424 33102 44136 46224 65591 66204 88272 131182 132408 196773 262364 264816 393546 524728 590319 787092 1049456 1180638 1574184 1770957 2361276 3148368 3541914 4722552 7083828 9445104 14167656 28335312