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28793310 = 23571353199
BaseRepresentation
bin110110111010…
…1100111011110
32000011211222220
41231311213132
524332341220
62505050210
7466511340
oct155654736
960154886
1028793310
1115286927
129786966
135c71980
143b77290
1527db540
hex1b759de

28793310 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 5930496.

The previous prime is 28793293. The next prime is 28793311. The reversal of 28793310 is 1339782.

It is a super-2 number, since 2×287933102 = 1658109401512200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28793311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144591 + ... + 144789.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 228793310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28793310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

28793310 is an abundant number, since it is smaller than the sum of its proper divisors (58297890).

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

28793310 is a wasteful number, since it uses less digits than its factorization.

28793310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 28793310 is about 5365.9398058495. The cubic root of 28793310 is about 306.5000368134.

The spelling of 28793310 in words is "twenty-eight million, seven hundred ninety-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 53 65 70 78 91 105 106 130 159 182 195 199 210 265 273 318 371 390 398 455 530 546 597 689 742 795 910 995 1113 1194 1365 1378 1393 1590 1855 1990 2067 2226 2587 2730 2786 2985 3445 3710 4134 4179 4823 5174 5565 5970 6890 6965 7761 8358 9646 10335 10547 11130 12935 13930 14469 15522 18109 20670 20895 21094 24115 25870 28938 31641 36218 38805 41790 48230 52735 54327 63282 72345 73829 77610 90545 105470 108654 137111 144690 147658 158205 181090 221487 271635 274222 316410 369145 411333 442974 543270 685555 738290 822666 959777 1107435 1371110 1919554 2056665 2214870 2879331 4113330 4798885 5758662 9597770 14396655 28793310