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28350300 = 2235211371
BaseRepresentation
bin110110000100…
…1011101011100
31222100100022010
41230021131130
524224202200
62451351220
7462654636
oct154113534
958310263
1028350300
1115004000
1295b2510
135b48134
143a9da56
152750150
hex1b0975c

28350300 has 144 divisors (see below), whose sum is σ = 91494144. Its totient is φ = 6776000.

The previous prime is 28350277. The next prime is 28350307. The reversal of 28350300 is 305382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28350307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399265 + ... + 399335.

It is an arithmetic number, because the mean of its divisors is an integer number (635376).

Almost surely, 228350300 is an apocalyptic number.

28350300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5324×5325.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45747072).

28350300 is an abundant number, since it is smaller than the sum of its proper divisors (63143844).

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

28350300 is a wasteful number, since it uses less digits than its factorization.

28350300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 28350300 is about 5324.4999765236. The cubic root of 28350300 is about 304.9199825924.

Adding to 28350300 its reverse (305382), we get a palindrome (28655682).

The spelling of 28350300 in words is "twenty-eight million, three hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 121 132 142 150 165 213 220 242 275 284 300 330 355 363 426 484 550 605 660 710 726 781 825 852 1065 1100 1210 1331 1420 1452 1562 1650 1775 1815 2130 2343 2420 2662 3025 3124 3300 3550 3630 3905 3993 4260 4686 5324 5325 6050 6655 7100 7260 7810 7986 8591 9075 9372 10650 11715 12100 13310 15620 15972 17182 18150 19525 19965 21300 23430 25773 26620 33275 34364 36300 39050 39930 42955 46860 51546 58575 66550 78100 79860 85910 94501 99825 103092 117150 128865 133100 171820 189002 199650 214775 234300 257730 283503 378004 399300 429550 472505 515460 567006 644325 859100 945010 1134012 1288650 1417515 1890020 2362525 2577300 2835030 4725050 5670060 7087575 9450100 14175150 28350300