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628771104 = 253213198839
BaseRepresentation
bin100101011110100…
…100100100100000
31121211010212210200
4211132210210200
52241431133404
6142220425200
721403315623
oct4536444440
91554125720
10628771104
112a2a1a045
121566a8200
13a0360410
145d715dba
153a302839
hex257a4920

628771104 has 144 divisors (see below), whose sum is σ = 2027188800. Its totient is φ = 183264768.

The previous prime is 628771001. The next prime is 628771111. The reversal of 628771104 is 401177826.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66717 + ... + 75555.

It is an arithmetic number, because the mean of its divisors is an integer number (14077700).

Almost surely, 2628771104 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 628771104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013594400).

628771104 is an abundant number, since it is smaller than the sum of its proper divisors (1398417696).

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

628771104 is a wasteful number, since it uses less digits than its factorization.

628771104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 628771104 is about 25075.3086521383. The cubic root of 628771104 is about 856.7041255673.

The spelling of 628771104 in words is "six hundred twenty-eight million, seven hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8839 8892 11856 17678 17784 23712 26517 35356 35568 53034 70712 71136 79551 106068 114907 141424 159102 167941 212136 229814 282848 318204 335882 344721 424272 459628 503823 636408 671764 689442 848544 919256 1007646 1034163 1272816 1343528 1378884 1511469 1838512 2015292 2068326 2183233 2545632 2687056 2757768 3022938 3677024 4030584 4136652 4366466 5374112 5515536 6045876 6549699 8061168 8273304 8732932 11031072 12091752 13099398 16122336 16546608 17465864 19649097 24183504 26198796 33093216 34931728 39298194 48367008 52397592 69863456 78596388 104795184 157192776 209590368 314385552 628771104