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628704608 = 257171071543
BaseRepresentation
bin100101011110010…
…100010101100000
31121211000111120212
4211132110111200
52241422021413
6142215153252
721402621020
oct4536242540
91554014525
10628704608
112a2984094
12156675828
13a033907c
145d6d9a80
153a2dcca8
hex25794560

628704608 has 96 divisors (see below), whose sum is σ = 1512774144. Its totient is φ = 251062272.

The previous prime is 628704551. The next prime is 628704611. The reversal of 628704608 is 806407826.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406685 + ... + 408227.

It is an arithmetic number, because the mean of its divisors is an integer number (15758064).

Almost surely, 2628704608 is an apocalyptic number.

628704608 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628704608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756387072).

628704608 is an abundant number, since it is smaller than the sum of its proper divisors (884069536).

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

628704608 is a wasteful number, since it uses less digits than its factorization.

628704608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 628704608 is about 25073.9826912280. The cubic root of 628704608 is about 856.6739241127.

The spelling of 628704608 in words is "six hundred twenty-eight million, seven hundred four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 107 112 119 136 214 224 238 272 428 476 544 749 856 952 1498 1543 1712 1819 1904 2996 3086 3424 3638 3808 5992 6172 7276 10801 11984 12344 12733 14552 21602 23968 24688 25466 26231 29104 43204 49376 50932 52462 58208 86408 101864 104924 165101 172816 183617 203728 209848 330202 345632 367234 407456 419696 660404 734468 839392 1155707 1320808 1468936 2311414 2641616 2806717 2937872 4622828 5283232 5613434 5875744 9245656 11226868 18491312 19647019 22453736 36982624 39294038 44907472 78588076 89814944 157176152 314352304 628704608