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28132688 = 2417293353
BaseRepresentation
bin110101101010…
…0010101010000
31221221021210102
41223110111100
524200221223
62442551532
7461060333
oct153242520
957837712
1028132688
1114975561
1295085a8
135aa007c
143a4461a
15270a928
hex1ad4550

28132688 has 40 divisors (see below), whose sum is σ = 58074408. Its totient is φ = 13156352.

The previous prime is 28132661. The next prime is 28132721. The reversal of 28132688 is 88623182.

It can be written as a sum of positive squares in 4 ways, for example, as 13601344 + 14531344 = 3688^2 + 3812^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79520 + ... + 79872.

Almost surely, 228132688 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 28132688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29037204).

28132688 is an abundant number, since it is smaller than the sum of its proper divisors (29941720).

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

28132688 is a wasteful number, since it uses less digits than its factorization.

28132688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 28132688 is about 5304.0256409637. The cubic root of 28132688 is about 304.1378068655.

The spelling of 28132688 in words is "twenty-eight million, one hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 293 353 586 706 1172 1412 2344 2824 4688 4981 5648 6001 9962 12002 19924 24004 39848 48008 79696 96016 103429 206858 413716 827432 1654864 1758293 3516586 7033172 14066344 28132688