Search a number
-
+
28327936 = 21471319
BaseRepresentation
bin110110000010…
…0000000000000
31222022012121211
41230010000000
524222443221
62451055504
7462532510
oct154040000
958265554
1028327936
1114a9921a
1295a1594
135b3abc0
143a95840
1527486e1
hex1b04000

28327936 has 120 divisors (see below), whose sum is σ = 73398080. Its totient is φ = 10616832.

The previous prime is 28327931. The next prime is 28327939. The reversal of 28327936 is 63972382.

It is not an unprimeable number, because it can be changed into a prime (28327931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490935 + ... + 1490953.

Almost surely, 228327936 is an apocalyptic number.

28327936 is a gapful number since it is divisible by the number (26) 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 28327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36699040).

28327936 is an abundant number, since it is smaller than the sum of its proper divisors (45070144).

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

28327936 is an equidigital number, since it uses as much as digits as its factorization.

28327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 28327936 is about 5322.3994588907. The cubic root of 28327936 is about 304.8397832719.

The spelling of 28327936 in words is "twenty-eight million, three hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 256 266 304 364 416 448 494 512 532 608 728 832 896 988 1024 1064 1216 1456 1664 1729 1792 1976 2048 2128 2432 2912 3328 3458 3584 3952 4096 4256 4864 5824 6656 6916 7168 7904 8192 8512 9728 11648 13312 13832 14336 15808 16384 17024 19456 23296 26624 27664 28672 31616 34048 38912 46592 53248 55328 57344 63232 68096 77824 93184 106496 110656 114688 126464 136192 155648 186368 212992 221312 252928 272384 311296 372736 442624 505856 544768 745472 885248 1011712 1089536 1490944 1770496 2023424 2179072 3540992 4046848 7081984 14163968 28327936