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628924160 = 2852916943
BaseRepresentation
bin100101011111001…
…001111100000000
31121211102122202102
4211133021330000
52242001033120
6142224005532
721404524064
oct4537117400
91554378672
10628924160
112a3014037
121567608a8
13a03b4c97
145d755aa4
153a332d75
hex257c9f00

628924160 has 72 divisors (see below), whose sum is σ = 1558509120. Its totient is φ = 242880512.

The previous prime is 628924159. The next prime is 628924169. The reversal of 628924160 is 61429826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628924169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28649 + ... + 45591.

It is an arithmetic number, because the mean of its divisors is an integer number (21645960).

Almost surely, 2628924160 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 628924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779254560).

628924160 is an abundant number, since it is smaller than the sum of its proper divisors (929584960).

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

628924160 is a wasteful number, since it uses less digits than its factorization.

628924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16993 (or 16979 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 628924160 is about 25078.3603929763. The cubic root of 628924160 is about 856.7736331447.

The spelling of 628924160 in words is "six hundred twenty-eight million, nine hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1160 1280 1856 2320 3712 4640 7424 9280 16943 18560 33886 37120 67772 84715 135544 169430 271088 338860 491347 542176 677720 982694 1084352 1355440 1965388 2168704 2456735 2710880 3930776 4337408 4913470 5421760 7861552 9826940 10843520 15723104 19653880 21687040 31446208 39307760 62892416 78615520 125784832 157231040 314462080 628924160