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28268620 = 22517294761
BaseRepresentation
bin110101111010…
…1100001001100
31222012012020221
41223311201030
524214043440
62445521124
7462164542
oct153654114
958165227
1028268620
1114a586a6
1295731a4
135b19bc3
143a7bd92
152735d4a
hex1af584c

28268620 has 96 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 9891840.

The previous prime is 28268609. The next prime is 28268623. The reversal of 28268620 is 2686282.

It is a super-2 number, since 2×282686202 = 1598229753408800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (28268623) 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 31 ways as a sum of consecutive naturals, for example, 463390 + ... + 463450.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 228268620 is an apocalyptic number.

28268620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28268620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

28268620 is an abundant number, since it is smaller than the sum of its proper divisors (39227060).

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

28268620 is a wasteful number, since it uses less digits than its factorization.

28268620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 28268620 is about 5316.8242400892. The cubic root of 28268620 is about 304.6268661023.

It can be divided in two parts, 28268 and 620, that multiplied together give a triangular number (17526160 = T5920).

The spelling of 28268620 in words is "twenty-eight million, two hundred sixty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 47 58 61 68 85 94 116 122 145 170 188 235 244 290 305 340 470 493 580 610 799 940 986 1037 1220 1363 1598 1769 1972 2074 2465 2726 2867 3196 3538 3995 4148 4930 5185 5452 5734 6815 7076 7990 8845 9860 10370 11468 13630 14335 15980 17690 20740 23171 27260 28670 30073 35380 46342 48739 57340 60146 83143 92684 97478 115855 120292 150365 166286 194956 231710 243695 300730 332572 415715 463420 487390 601460 831430 974780 1413431 1662860 2826862 5653724 7067155 14134310 28268620