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28327750101 = 3272292215009
BaseRepresentation
bin11010011000011101…
…110010100111010101
32201010012122210202200
4122120131302213111
5431003401000401
621002533555113
72021662621500
oct323035624725
981105583680
1028327750101
1111017304a22
1255a6aa5a99
132895ab3711
14152a308137
15b0be07686
hex6987729d5

28327750101 has 36 divisors (see below), whose sum is σ = 49239672300. Its totient is φ = 15629096448.

The previous prime is 28327750091. The next prime is 28327750111. The reversal of 28327750101 is 10105772382.

28327750101 is a `hidden beast` number, since 2 + 83 + 2 + 77 + 501 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (28327750091) and next prime (28327750111).

It can be written as a sum of positive squares in 2 ways, for example, as 13461800625 + 14865949476 = 116025^2 + 121926^2 .

It is not a de Polignac number, because 28327750101 - 25 = 28327750069 is a prime.

It is a super-2 number, since 2×283277501012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28327750111) 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 35 ways as a sum of consecutive naturals, for example, 1094716 + ... + 1120293.

It is an arithmetic number, because the mean of its divisors is an integer number (1367768675).

Almost surely, 228327750101 is an apocalyptic number.

28327750101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

28327750101 is a deficient number, since it is larger than the sum of its proper divisors (20911922199).

28327750101 is a wasteful number, since it uses less digits than its factorization.

28327750101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215058 (or 2215048 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 28327750101 in words is "twenty-eight billion, three hundred twenty-seven million, seven hundred fifty thousand, one hundred one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 2215009 6645027 15505063 19935081 46515189 64235261 108535441 139545567 192705783 325606323 449646827 578117349 976818969 1348940481 3147527789 4046821443 9442583367 28327750101