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28636618648 = 231123109129803
BaseRepresentation
bin11010101010111000…
…000001111110011000
32201220201211221202111
4122222320001332120
5432121433244043
621053330042104
72032433146051
oct325270017630
981821757674
1028636618648
1111165696490
125672419334
132914a98081
141559349728
15b290b909d
hex6aae01f98

28636618648 has 64 divisors (see below), whose sum is σ = 61682860800. Its totient is φ = 12336382080.

The previous prime is 28636618573. The next prime is 28636618649. The reversal of 28636618648 is 84681663682.

It is a junction number, because it is equal to n+sod(n) for n = 28636618592 and 28636618601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28636618649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155715 + ... + 285517.

It is an arithmetic number, because the mean of its divisors is an integer number (963794700).

Almost surely, 228636618648 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 28636618648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30841430400).

28636618648 is an abundant number, since it is smaller than the sum of its proper divisors (33046242152).

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

28636618648 is a wasteful number, since it uses less digits than its factorization.

28636618648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129952 (or 129948 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 58.

The spelling of 28636618648 in words is "twenty-eight billion, six hundred thirty-six million, six hundred eighteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 109 184 218 253 436 506 872 1012 1199 2024 2398 2507 4796 5014 9592 10028 20056 27577 55154 110308 129803 220616 259606 519212 1038424 1427833 2855666 2985469 5711332 5970938 11422664 11941876 14148527 23883752 28297054 32840159 56594108 65680318 113188216 131360636 155633797 262721272 311267594 325416121 622535188 650832242 1245070376 1301664484 2603328968 3579577331 7159154662 14318309324 28636618648