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28838565 = 335730517
BaseRepresentation
bin110111000000…
…0101010100101
32000021011002000
41232000222211
524340313230
62510035513
7500060310
oct156005245
960234060
1028838565
1115307928
1297a8b99
135c89452
143b89977
1527e9b60
hex1b80aa5

28838565 has 32 divisors (see below), whose sum is σ = 58594560. Its totient is φ = 13182912.

The previous prime is 28838531. The next prime is 28838569. The reversal of 28838565 is 56583882.

It is a happy number.

28838565 is a `hidden beast` number, since 2 + 8 + 83 + 8 + 565 = 666.

It is not a de Polignac number, because 28838565 - 26 = 28838501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 28838565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28838569) 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 31 ways as a sum of consecutive naturals, for example, 14314 + ... + 16203.

It is an arithmetic number, because the mean of its divisors is an integer number (1831080).

Almost surely, 228838565 is an apocalyptic number.

It is an amenable number.

28838565 is an abundant number, since it is smaller than the sum of its proper divisors (29755995).

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

28838565 is a wasteful number, since it uses less digits than its factorization.

28838565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30538 (or 30532 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 28838565 is about 5370.1550256953. The cubic root of 28838565 is about 306.6605300967.

It can be divided in two parts, 28838 and 565, that added together give a triangular number (29403 = T242).

The spelling of 28838565 in words is "twenty-eight million, eight hundred thirty-eight thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 30517 91551 152585 213619 274653 457755 640857 823959 1068095 1373265 1922571 3204285 4119795 5767713 9612855 28838565