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628085832 = 233112313691
BaseRepresentation
bin100101011011111…
…101010001001000
31121202212001210020
4211123331101020
52241242221312
6142154020440
721364433013
oct4533752110
91552761706
10628085832
112a25a1200
12156417720
13a018052a
145d5b837a
153a21978c
hex256fd448

628085832 has 96 divisors (see below), whose sum is σ = 1733958240. Its totient is φ = 189446400.

The previous prime is 628085813. The next prime is 628085833. The reversal of 628085832 is 238580826.

628085832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (628085833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908607 + ... + 909297.

It is an arithmetic number, because the mean of its divisors is an integer number (18062065).

Almost surely, 2628085832 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 628085832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866979120).

628085832 is an abundant number, since it is smaller than the sum of its proper divisors (1105872408).

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

628085832 is a wasteful number, since it uses less digits than its factorization.

628085832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 628085832 is about 25061.6406486088. The cubic root of 628085832 is about 856.3927834633.

The spelling of 628085832 in words is "six hundred twenty-eight million, eighty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 313 363 484 626 691 726 939 968 1252 1382 1452 1878 2073 2504 2764 2904 3443 3756 4146 5528 6886 7512 7601 8292 10329 13772 15202 16584 20658 22803 27544 30404 37873 41316 45606 60808 75746 82632 83611 91212 113619 151492 167222 182424 216283 227238 250833 302984 334444 432566 454476 501666 648849 668888 865132 908952 1003332 1297698 1730264 2006664 2379113 2595396 4758226 5190792 7137339 9516452 14274678 19032904 26170243 28549356 52340486 57098712 78510729 104680972 157021458 209361944 314042916 628085832