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628334712 = 233319283541
BaseRepresentation
bin100101011100111…
…010000001111000
31121210022201012000
4211130322001320
52241323202322
6142203221000
721366520425
oct4534720170
91553281160
10628334712
112a2751195
12156517760
13a02398b5
145d640d4c
153a2683ac
hex2573a078

628334712 has 128 divisors (see below), whose sum is σ = 1847136000. Its totient is φ = 197354880.

The previous prime is 628334701. The next prime is 628334713. The reversal of 628334712 is 217433826.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628334713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161162 + ... + 1161702.

It is an arithmetic number, because the mean of its divisors is an integer number (14430750).

Almost surely, 2628334712 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 628334712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923568000).

628334712 is an abundant number, since it is smaller than the sum of its proper divisors (1218801288).

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

628334712 is a wasteful number, since it uses less digits than its factorization.

628334712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 628334712 is about 25066.6055141098. The cubic root of 628334712 is about 856.5058841889.

The spelling of 628334712 in words is "six hundred twenty-eight million, three hundred thirty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 283 342 456 513 541 566 684 849 1026 1082 1132 1368 1623 1698 2052 2164 2264 2547 3246 3396 4104 4328 4869 5094 5377 6492 6792 7641 9738 10188 10279 10754 12984 14607 15282 16131 19476 20376 20558 21508 29214 30564 30837 32262 38952 41116 43016 48393 58428 61128 61674 64524 82232 92511 96786 116856 123348 129048 145179 153103 185022 193572 246696 277533 290358 306206 370044 387144 459309 555066 580716 612412 740088 918618 1110132 1161432 1224824 1377927 1837236 2220264 2755854 2908957 3674472 4133781 5511708 5817914 8267562 8726871 11023416 11635828 16535124 17453742 23271656 26180613 33070248 34907484 52361226 69814968 78541839 104722452 157083678 209444904 314167356 628334712