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28283100 = 22352234099
BaseRepresentation
bin110101111100…
…1000011011100
31222012221010020
41223321003130
524220024400
62450112140
7462255006
oct153710334
958187106
1028283100
1114a6856a
12957b650
135b23681
143a83376
15273a2a0
hex1af90dc

28283100 has 72 divisors (see below), whose sum is σ = 85411200. Its totient is φ = 7212480.

The previous prime is 28283083. The next prime is 28283113. The reversal of 28283100 is 138282.

It is a super-2 number, since 2×282831002 = 1599867491220000, which contains 22 as substring.

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, 4851 + ... + 8949.

Almost surely, 228283100 is an apocalyptic number.

28283100 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 28283100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42705600).

28283100 is an abundant number, since it is smaller than the sum of its proper divisors (57128100).

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

28283100 is a wasteful number, since it uses less digits than its factorization.

28283100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28283100 is about 5318.1857808843. The cubic root of 28283100 is about 304.6788701040.

It can be divided in two parts, 28 and 283100, that added together give a triangular number (283128 = T752).

The spelling of 28283100 in words is "twenty-eight million, two hundred eighty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 4099 6900 8198 12297 16396 20495 24594 40990 49188 61485 81980 94277 102475 122970 188554 204950 245940 282831 307425 377108 409900 471385 565662 614850 942770 1131324 1229700 1414155 1885540 2356925 2828310 4713850 5656620 7070775 9427700 14141550 28283100