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28133973 = 34729259
BaseRepresentation
bin110101101010…
…0101001010101
31221221100120000
41223110221111
524200241343
62443001513
7461064150
oct153245125
957840500
1028133973
111497651a
129509299
135aa082a
143a44c97
15270aed3
hex1ad4a55

28133973 has 60 divisors (see below), whose sum is σ = 50587680. Its totient is φ = 15259104.

The previous prime is 28133951. The next prime is 28133983. The reversal of 28133973 is 37933182.

It is a happy number.

It is not a de Polignac number, because 28133973 - 213 = 28125781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28133923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 476818 + ... + 476876.

It is an arithmetic number, because the mean of its divisors is an integer number (843128).

Almost surely, 228133973 is an apocalyptic number.

It is an amenable number.

28133973 is a deficient number, since it is larger than the sum of its proper divisors (22453707).

28133973 is an equidigital number, since it uses as much as digits as its factorization.

28133973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 28133973 is about 5304.1467739873. The cubic root of 28133973 is about 304.1424374353.

It can be divided in two parts, 2813 and 3973, that added together give a triangular number (6786 = T116).

The spelling of 28133973 in words is "twenty-eight million, one hundred thirty-three thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 21 27 29 59 63 81 87 177 189 203 261 413 531 567 609 783 841 1239 1593 1711 1827 2349 2523 3717 4779 5133 5481 5887 7569 11151 11977 15399 16443 17661 22707 33453 35931 46197 49619 52983 68121 107793 138591 148857 158949 323379 347333 446571 476847 970137 1041999 1339713 3125997 4019139 9377991 28133973