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628439000 = 23537175281
BaseRepresentation
bin100101011101010…
…011011111011000
31121210112000020112
4211131103133120
52241340022000
6142205343452
721400433450
oct4535233730
91553460215
10628439000
112a2812582
12156567b88
13a02751c7
145d66ad60
153a289235
hex257537d8

628439000 has 128 divisors (see below), whose sum is σ = 1779822720. Its totient is φ = 202752000.

The previous prime is 628438997. The next prime is 628439011. The reversal of 628439000 is 934826.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116360 + ... + 121640.

It is an arithmetic number, because the mean of its divisors is an integer number (13904865).

Almost surely, 2628439000 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 628439000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889911360).

628439000 is an abundant number, since it is smaller than the sum of its proper divisors (1151383720).

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

628439000 is a wasteful number, since it uses less digits than its factorization.

628439000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 628439000 is about 25068.6856456417. The cubic root of 628439000 is about 856.5532678219.

The spelling of 628439000 in words is "six hundred twenty-eight million, four hundred thirty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5281 5950 7000 8500 10562 11900 14875 17000 21124 23800 26405 29750 36967 42248 52810 59500 73934 89777 105620 119000 132025 147868 179554 184835 211240 264050 295736 359108 369670 448885 528100 628439 660125 718216 739340 897770 924175 1056200 1256878 1320250 1478680 1795540 1848350 2244425 2513756 2640500 3142195 3591080 3696700 4488850 4620875 5027512 5281000 6284390 7393400 8977700 9241750 11222125 12568780 15710975 17955400 18483500 22444250 25137560 31421950 36967000 44888500 62843900 78554875 89777000 125687800 157109750 314219500 628439000