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28068300 = 223252132399
BaseRepresentation
bin110101100010…
…0100111001100
31221211000110200
41223010213030
524141141200
62441333500
7460401531
oct153044714
957730420
1028068300
1114931147
129497290
135a79980
143a28d88
1526e6800
hex1ac49cc

28068300 has 108 divisors (see below), whose sum is σ = 94785600. Its totient is φ = 6906240.

The previous prime is 28068277. The next prime is 28068307. The reversal of 28068300 is 386082.

It is not an unprimeable number, because it can be changed into a prime (28068307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10501 + ... + 12899.

Almost surely, 228068300 is an apocalyptic number.

28068300 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 28068300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

28068300 is an abundant number, since it is smaller than the sum of its proper divisors (66717300).

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

28068300 is a wasteful number, since it uses less digits than its factorization.

28068300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28068300 is about 5297.9524346676. The cubic root of 28068300 is about 303.9056003063.

The spelling of 28068300 in words is "twenty-eight million, sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2399 2925 3900 4798 5850 7197 9596 11700 11995 14394 21591 23990 28788 31187 35985 43182 47980 59975 62374 71970 86364 93561 107955 119950 124748 143940 155935 179925 187122 215910 239900 280683 311870 359850 374244 431820 467805 539775 561366 623740 719700 779675 935610 1079550 1122732 1403415 1559350 1871220 2159100 2339025 2806830 3118700 4678050 5613660 7017075 9356100 14034150 28068300