Search a number
-
+
28682414928 = 243422131493
BaseRepresentation
bin11010101101100110…
…101110101101010000
32202000221000122110000
4122231212232231100
5432220144234203
621102043410000
72033530334646
oct325546565520
982027018400
1028682414928
1111189525952
125685823900
132921410c6b
14156146b196
15b2d1134a3
hex6ad9aeb50

28682414928 has 50 divisors (see below), whose sum is σ = 83015233994. Its totient is φ = 9560804544.

The previous prime is 28682414923. The next prime is 28682415017. The reversal of 28682414928 is 82941428682.

It can be written as a sum of positive squares in only one way, i.e., 22449628224 + 6232786704 = 149832^2 + 78948^2 .

It is a super-2 number, since 2×286824149282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28682414923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11064451 + ... + 11067042.

Almost surely, 228682414928 is an apocalyptic number.

It is an amenable number.

28682414928 is an abundant number, since it is smaller than the sum of its proper divisors (54332819066).

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

28682414928 is a wasteful number, since it uses less digits than its factorization.

28682414928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131513 (or 22131498 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 28682414928 in words is "twenty-eight billion, six hundred eighty-two million, four hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 22131493 44262986 66394479 88525972 132788958 177051944 199183437 265577916 354103888 398366874 531155832 597550311 796733748 1062311664 1195100622 1593467496 1792650933 2390201244 3186934992 3585301866 4780402488 7170603732 9560804976 14341207464 28682414928