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28137000 = 2335383113
BaseRepresentation
bin110101101010…
…1011000101000
31221221111201010
41223111120220
524200341000
62443023520
7461106033
oct153253050
957844633
1028137000
1114978821
12950aba0
135aa2018
143a4601a
15270bd50
hex1ad5628

28137000 has 128 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 7347200.

The previous prime is 28136971. The next prime is 28137013. The reversal of 28137000 is 73182.

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, 248944 + ... + 249056.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 228137000 is an apocalyptic number.

28137000 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 28137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

28137000 is an abundant number, since it is smaller than the sum of its proper divisors (61494360).

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

28137000 is a wasteful number, since it uses less digits than its factorization.

28137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 28137000 is about 5304.4321090952. The cubic root of 28137000 is about 304.1533448430.

The spelling of 28137000 in words is "twenty-eight million, one hundred thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 113 120 125 150 166 200 226 249 250 300 332 339 375 415 452 498 500 565 600 664 678 750 830 904 996 1000 1130 1245 1356 1500 1660 1695 1992 2075 2260 2490 2712 2825 3000 3320 3390 4150 4520 4980 5650 6225 6780 8300 8475 9379 9960 10375 11300 12450 13560 14125 16600 16950 18758 20750 22600 24900 28137 28250 31125 33900 37516 41500 42375 46895 49800 56274 56500 62250 67800 75032 83000 84750 93790 112548 113000 124500 140685 169500 187580 225096 234475 249000 281370 339000 375160 468950 562740 703425 937900 1125480 1172375 1406850 1875800 2344750 2813700 3517125 4689500 5627400 7034250 9379000 14068500 28137000