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8768628 = 223311361
BaseRepresentation
bin100001011100…
…110001110100
3121111111022000
4201130301310
54221044003
6511535300
7134350341
oct41346164
917444260
108768628
114a4a000
122b2a530
131a8024b
1412437c8
15b831a3
hex85cc74

8768628 has 96 divisors (see below), whose sum is σ = 25415040. Its totient is φ = 2613600.

The previous prime is 8768621. The next prime is 8768647. The reversal of 8768628 is 8268678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768621) 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, 143718 + ... + 143778.

It is an arithmetic number, because the mean of its divisors is an integer number (264740).

Almost surely, 28768628 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 8768628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707520).

8768628 is an abundant number, since it is smaller than the sum of its proper divisors (16646412).

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

8768628 is a wasteful number, since it uses less digits than its factorization.

8768628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 8768628 is about 2961.1869241910. The cubic root of 8768628 is about 206.2103923944.

The spelling of 8768628 in words is "eight million, seven hundred sixty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 121 122 132 183 198 242 244 297 363 366 396 484 549 594 671 726 732 1089 1098 1188 1331 1342 1452 1647 2013 2178 2196 2662 2684 3267 3294 3993 4026 4356 5324 6039 6534 6588 7381 7986 8052 11979 12078 13068 14762 15972 18117 22143 23958 24156 29524 35937 36234 44286 47916 66429 71874 72468 81191 88572 132858 143748 162382 199287 243573 265716 324764 398574 487146 730719 797148 974292 1461438 2192157 2922876 4384314 8768628