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28317120 = 2635132269
BaseRepresentation
bin110110000000…
…1010111000000
31222021122210020
41230001113000
524222121440
62450533440
7462456126
oct154012700
958248706
1028317120
1114a91087
129597280
135b35cc0
143a91916
1527453d0
hex1b015c0

28317120 has 112 divisors (see below), whose sum is σ = 96865440. Its totient is φ = 6967296.

The previous prime is 28317119. The next prime is 28317127. The reversal of 28317120 is 2171382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28317127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11346 + ... + 13614.

It is an arithmetic number, because the mean of its divisors is an integer number (864870).

Almost surely, 228317120 is an apocalyptic number.

28317120 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 28317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432720).

28317120 is an abundant number, since it is smaller than the sum of its proper divisors (68548320).

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

28317120 is a wasteful number, since it uses less digits than its factorization.

28317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 28317120 is about 5321.3832788101. The cubic root of 28317120 is about 304.8009809766.

The spelling of 28317120 in words is "twenty-eight million, three hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2269 2496 3120 4160 4538 6240 6807 9076 11345 12480 13614 18152 22690 27228 29497 34035 36304 45380 54456 58994 68070 72608 88491 90760 108912 117988 136140 145216 147485 176982 181520 217824 235976 272280 294970 353964 363040 435648 442455 471952 544560 589940 707928 726080 884910 943904 1089120 1179880 1415856 1769820 1887808 2178240 2359760 2831712 3539640 4719520 5663424 7079280 9439040 14158560 28317120