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28136628 = 223213591019
BaseRepresentation
bin110101101010…
…1010010110100
31221221111012100
41223111102310
524200333003
62443022100
7461104662
oct153252264
957844170
1028136628
1114978513
12950a930
135aa1ac0
143a45c32
15270bba3
hex1ad54b4

28136628 has 72 divisors (see below), whose sum is σ = 77968800. Its totient is φ = 8502336.

The previous prime is 28136611. The next prime is 28136651. The reversal of 28136628 is 82663182.

28136628 is a `hidden beast` number, since 28 + 1 + 3 + 6 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28136592 and 28136601.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27103 + ... + 28121.

It is an arithmetic number, because the mean of its divisors is an integer number (1082900).

Almost surely, 228136628 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 28136628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38984400).

28136628 is an abundant number, since it is smaller than the sum of its proper divisors (49832172).

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

28136628 is a wasteful number, since it uses less digits than its factorization.

28136628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1096 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28136628 is about 5304.3970439627. The cubic root of 28136628 is about 304.1520044307.

The spelling of 28136628 in words is "twenty-eight million, one hundred thirty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1019 1062 1534 2038 2124 2301 3057 3068 4076 4602 6114 6903 9171 9204 12228 13247 13806 18342 26494 27612 36684 39741 52988 60121 79482 119223 120242 158964 180363 238446 240484 360726 476892 541089 721452 781573 1082178 1563146 2164356 2344719 3126292 4689438 7034157 9378876 14068314 28136628