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28107120 = 243517832
BaseRepresentation
bin110101100111…
…0000101110000
31221212222201110
41223032011300
524143411440
62442233320
7460622646
oct153160560
957788643
1028107120
1114958328
1294b5840
135a91542
143a39196
152703080
hex1ace170

28107120 has 120 divisors (see below), whose sum is σ = 93382416. Its totient is φ = 6969344.

The previous prime is 28107113. The next prime is 28107133. The reversal of 28107120 is 2170182.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338599 + ... + 338681.

Almost surely, 228107120 is an apocalyptic number.

28107120 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 28107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46691208).

28107120 is an abundant number, since it is smaller than the sum of its proper divisors (65275296).

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

28107120 is a wasteful number, since it uses less digits than its factorization.

28107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 28107120 is about 5301.6148483269. The cubic root of 28107120 is about 304.0456418082.

The spelling of 28107120 in words is "twenty-eight million, one hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 83 85 102 120 136 166 170 204 240 249 255 272 332 340 408 415 498 510 664 680 816 830 996 1020 1245 1328 1360 1411 1660 1992 2040 2490 2822 3320 3984 4080 4233 4980 5644 6640 6889 7055 8466 9960 11288 13778 14110 16932 19920 20667 21165 22576 27556 28220 33864 34445 41334 42330 55112 56440 67728 68890 82668 84660 103335 110224 112880 117113 137780 165336 169320 206670 234226 275560 330672 338640 351339 413340 468452 551120 585565 702678 826680 936904 1171130 1405356 1653360 1756695 1873808 2342260 2810712 3513390 4684520 5621424 7026780 9369040 14053560 28107120