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28171320 = 23352359173
BaseRepresentation
bin110101101110…
…1110000111000
31222000020210020
41223131300320
524202440240
62443450440
7461311062
oct153356070
958006706
1028171320
11149a1591
129526a20
135ab4828
143a54732
1527170d0
hex1addc38

28171320 has 128 divisors (see below), whose sum is σ = 90201600. Its totient is φ = 7023104.

The previous prime is 28171307. The next prime is 28171327. The reversal of 28171320 is 2317182.

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 (28171327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162754 + ... + 162926.

It is an arithmetic number, because the mean of its divisors is an integer number (704700).

Almost surely, 228171320 is an apocalyptic number.

28171320 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 28171320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45100800).

28171320 is an abundant number, since it is smaller than the sum of its proper divisors (62030280).

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

28171320 is a wasteful number, since it uses less digits than its factorization.

28171320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

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

The square root of 28171320 is about 5307.6661537817. Note that the first 3 decimals coincide. The cubic root of 28171320 is about 304.2769578975.

The spelling of 28171320 in words is "twenty-eight million, one hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 59 60 69 92 115 118 120 138 173 177 184 230 236 276 295 345 346 354 460 472 519 552 590 690 692 708 865 885 920 1038 1180 1357 1380 1384 1416 1730 1770 2076 2360 2595 2714 2760 3460 3540 3979 4071 4152 5190 5428 6785 6920 7080 7958 8142 10207 10380 10856 11937 13570 15916 16284 19895 20355 20414 20760 23874 27140 30621 31832 32568 39790 40710 40828 47748 51035 54280 59685 61242 79580 81420 81656 95496 102070 119370 122484 153105 159160 162840 204140 234761 238740 244968 306210 408280 469522 477480 612420 704283 939044 1173805 1224840 1408566 1878088 2347610 2817132 3521415 4695220 5634264 7042830 9390440 14085660 28171320