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5628350208 = 283131733161
BaseRepresentation
bin1010011110111100…
…11100111100000000
3112112020201211000010
411033132130330000
543011324201313
62330255024520
7256322121165
oct51736347400
915466654003
105628350208
1124290698a8
121110b0b140
136b90a2550
143b570806c
1522e1c44c3
hex14f79cf00

5628350208 has 144 divisors (see below), whose sum is σ = 17081348256. Its totient is φ = 1629880320.

The previous prime is 5628350207. The next prime is 5628350239. The reversal of 5628350208 is 8020538265.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628350207) 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 15 ways as a sum of consecutive naturals, for example, 153148 + ... + 186308.

It is an arithmetic number, because the mean of its divisors is an integer number (118620474).

Almost surely, 25628350208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540674128).

5628350208 is an abundant number, since it is smaller than the sum of its proper divisors (11452998048).

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

5628350208 is a wasteful number, since it uses less digits than its factorization.

5628350208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33210 (or 33196 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 5628350208 is about 75022.3313953919. The cubic root of 5628350208 is about 1778.7996586873.

It can be divided in two parts, 56283 and 50208, that added together give a triangular number (106491 = T461).

The spelling of 5628350208 in words is "five billion, six hundred twenty-eight million, three hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 7072 9984 10608 13056 14144 21216 28288 33161 42432 56576 66322 84864 99483 132644 169728 198966 265288 397932 431093 530576 563737 795864 862186 1061152 1127474 1293279 1591728 1691211 1724372 2122304 2254948 2586558 3183456 3382422 3448744 4244608 4509896 5173116 6366912 6764844 6897488 7328581 8489216 9019792 10346232 12733824 13529688 13794976 14657162 18039584 20692464 21985743 25467648 27059376 27589952 29314324 36079168 41384928 43971486 54118752 55179904 58628648 72158336 82769856 87942972 108237504 110359808 117257296 144316672 165539712 175885944 216475008 234514592 331079424 351771888 432950016 469029184 703543776 938058368 1407087552 1876116736 2814175104 5628350208