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28395900 = 22335213809
BaseRepresentation
bin110110001010…
…0100101111100
31222102122212000
41230110211330
524232132100
62452342300
7463234611
oct154244574
958378760
1028395900
1115035295
129614990
135b62b10
143ab2508
15275d900
hex1b1497c

28395900 has 144 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 6981120.

The previous prime is 28395841. The next prime is 28395911. The reversal of 28395900 is 959382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 34696 + ... + 35504.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 228395900 is an apocalyptic number.

28395900 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 28395900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

28395900 is an abundant number, since it is smaller than the sum of its proper divisors (70035300).

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

28395900 is a wasteful number, since it uses less digits than its factorization.

28395900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 28395900 is about 5328.7803482598. The cubic root of 28395900 is about 305.0833777246.

The spelling of 28395900 in words is "twenty-eight million, three hundred ninety-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 809 900 975 1170 1300 1350 1404 1618 1755 1950 2340 2427 2700 2925 3236 3510 3900 4045 4854 5850 7020 7281 8090 8775 9708 10517 11700 12135 14562 16180 17550 20225 21034 21843 24270 29124 31551 35100 36405 40450 42068 43686 48540 52585 60675 63102 72810 80900 87372 94653 105170 109215 121350 126204 145620 157755 182025 189306 210340 218430 242700 262925 283959 315510 364050 378612 436860 473265 525850 546075 567918 631020 728100 788775 946530 1051700 1092150 1135836 1419795 1577550 1893060 2184300 2366325 2839590 3155100 4732650 5679180 7098975 9465300 14197950 28395900