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28361190 = 23511213601
BaseRepresentation
bin110110000110…
…0000111100110
31222100220020110
41230030013212
524230024230
62451513450
7463031454
oct154140746
958326213
1028361190
1115011200
1295b8886
135b50090
143aa39d4
1527534b0
hex1b0c1e6

28361190 has 96 divisors (see below), whose sum is σ = 80706528. Its totient is φ = 6336000.

The previous prime is 28361173. The next prime is 28361191. The reversal of 28361190 is 9116382.

It is a super-2 number, since 2×283611902 = 1608714196432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28361191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46890 + ... + 47490.

It is an arithmetic number, because the mean of its divisors is an integer number (840693).

Almost surely, 228361190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28361190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40353264).

28361190 is an abundant number, since it is smaller than the sum of its proper divisors (52345338).

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

28361190 is a wasteful number, since it uses less digits than its factorization.

28361190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 28361190 is about 5325.5225095759. The cubic root of 28361190 is about 304.9590198457.

The spelling of 28361190 in words is "twenty-eight million, three hundred sixty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 601 605 715 726 858 1202 1210 1430 1573 1803 1815 2145 3005 3146 3606 3630 4290 4719 6010 6611 7813 7865 9015 9438 13222 15626 15730 18030 19833 23439 23595 33055 39065 39666 46878 47190 66110 72721 78130 85943 99165 117195 145442 171886 198330 218163 234390 257829 363605 429715 436326 515658 727210 859430 945373 1090815 1289145 1890746 2181630 2578290 2836119 4726865 5672238 9453730 14180595 28361190