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8628228 = 22337101113
BaseRepresentation
bin100000111010…
…100000000100
3121020100201000
4200322200010
54202100403
6504533300
7133224120
oct40724004
917210630
108628228
114963574
122a81230
131a3137b
141208580
15b567a3
hex83a804

8628228 has 96 divisors (see below), whose sum is σ = 26046720. Its totient is φ = 2419200.

The previous prime is 8628203. The next prime is 8628233. The reversal of 8628228 is 8228268.

8628228 is a `hidden beast` number, since 8 + 628 + 2 + 28 = 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 = 8628192 and 8628201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76300 + ... + 76412.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 28628228 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 8628228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023360).

8628228 is an abundant number, since it is smaller than the sum of its proper divisors (17418492).

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

8628228 is a wasteful number, since it uses less digits than its factorization.

8628228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 8628228 is about 2937.3845509228. The cubic root of 8628228 is about 205.1038775546.

The spelling of 8628228 in words is "eight million, six hundred twenty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 113 126 189 202 226 252 303 339 378 404 452 606 678 707 756 791 909 1017 1212 1356 1414 1582 1818 2034 2121 2373 2727 2828 3051 3164 3636 4068 4242 4746 5454 6102 6363 7119 8484 9492 10908 11413 12204 12726 14238 19089 21357 22826 25452 28476 34239 38178 42714 45652 68478 76356 79891 85428 102717 136956 159782 205434 239673 308151 319564 410868 479346 616302 719019 958692 1232604 1438038 2157057 2876076 4314114 8628228