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28290150 = 23252721283
BaseRepresentation
bin110101111101…
…0110001100110
31222020021210100
41223322301212
524220241100
62450204530
7462314400
oct153726146
958207710
1028290150
1114a72899
129583746
135b26945
143a85b70
15273c400
hex1afac66

28290150 has 108 divisors (see below), whose sum is σ = 88484292. Its totient is φ = 6461280.

The previous prime is 28290131. The next prime is 28290151. The reversal of 28290150 is 5109282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28290151) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21409 + ... + 22691.

It is an arithmetic number, because the mean of its divisors is an integer number (819299).

Almost surely, 228290150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28290150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44242146).

28290150 is an abundant number, since it is smaller than the sum of its proper divisors (60194142).

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

28290150 is a wasteful number, since it uses less digits than its factorization.

28290150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 28290150 is about 5318.8485596039. The cubic root of 28290150 is about 304.7041833074.

The spelling of 28290150 in words is "twenty-eight million, two hundred ninety thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1283 1470 1575 2205 2450 2566 3150 3675 3849 4410 6415 7350 7698 8981 11025 11547 12830 17962 19245 22050 23094 26943 32075 38490 44905 53886 57735 62867 64150 80829 89810 96225 115470 125734 134715 161658 188601 192450 224525 269430 288675 314335 377202 404145 449050 565803 577350 628670 673575 808290 943005 1131606 1347150 1571675 1886010 2020725 2829015 3143350 4041450 4715025 5658030 9430050 14145075 28290150