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28318680 = 23335132017
BaseRepresentation
bin110110000000…
…1101111011000
31222021201221000
41230001233120
524222144210
62450545000
7462463515
oct154015730
958251830
1028318680
1114a92275
129598160
135b36920
143a9230c
152745ac0
hex1b01bd8

28318680 has 128 divisors (see below), whose sum is σ = 101707200. Its totient is φ = 6967296.

The previous prime is 28318673. The next prime is 28318699. The reversal of 28318680 is 8681382.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13032 + ... + 15048.

Almost surely, 228318680 is an apocalyptic number.

28318680 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 28318680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50853600).

28318680 is an abundant number, since it is smaller than the sum of its proper divisors (73388520).

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

28318680 is a wasteful number, since it uses less digits than its factorization.

28318680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 28318680 is about 5321.5298552202. The cubic root of 28318680 is about 304.8065780712.

It can be divided in two parts, 2831 and 8680, that added together give a palindrome (11511).

The spelling of 28318680 in words is "twenty-eight million, three hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2017 2340 2808 3510 4034 4680 6051 7020 8068 10085 12102 14040 16136 18153 20170 24204 26221 30255 36306 40340 48408 52442 54459 60510 72612 78663 80680 90765 104884 108918 121020 131105 145224 157326 181530 209768 217836 235989 242040 262210 272295 314652 363060 393315 435672 471978 524420 544590 629304 707967 726120 786630 943956 1048840 1089180 1179945 1415934 1573260 1887912 2178360 2359890 2831868 3146520 3539835 4719780 5663736 7079670 9439560 14159340 28318680