Search a number
-
+
628864056828 = 223471511836271
BaseRepresentation
bin10010010011010110011…
…01111111110111111100
32020010012121200001210000
421021223031333313330
540300403144304303
61200521323114300
763301560200130
oct11115315776774
92203177601700
10628864056828
11222777402717
12a1a65372990
13473bc898787
14226198b53c0
1511558db0da3
hex926b37fdfc

628864056828 has 120 divisors (see below), whose sum is σ = 1891272018944. Its totient is φ = 178485444000.

The previous prime is 628864056823. The next prime is 628864056829. The reversal of 628864056828 is 828650468826.

628864056828 is a `hidden beast` number, since 6 + 2 + 8 + 8 + 6 + 40 + 568 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628864056823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 575668 + ... + 1260603.

Almost surely, 2628864056828 is an apocalyptic number.

It is an amenable number.

628864056828 is an abundant number, since it is smaller than the sum of its proper divisors (1262407962116).

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

628864056828 is a wasteful number, since it uses less digits than its factorization.

628864056828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836445 (or 1836434 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 628864056828 in words is "six hundred twenty-eight billion, eight hundred sixty-four million, fifty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 151 162 189 252 302 324 378 453 567 604 756 906 1057 1134 1359 1812 2114 2268 2718 3171 4077 4228 5436 6342 8154 9513 12231 12684 16308 19026 24462 28539 38052 48924 57078 85617 114156 171234 342468 1836271 3672542 5508813 7345084 11017626 12853897 16526439 22035252 25707794 33052878 38561691 49579317 51415588 66105756 77123382 99158634 115685073 148737951 154246764 198317268 231370146 277276921 297475902 347055219 462740292 554553842 594951804 694110438 831830763 1041165657 1109107684 1388220876 1663661526 1940938447 2082331314 2495492289 3327323052 3881876894 4164662628 4990984578 5822815341 7486476867 7763753788 9981969156 11645630682 14972953734 17468446023 22459430601 23291261364 29945907468 34936892046 44918861202 52405338069 69873784092 89837722404 104810676138 157216014207 209621352276 314432028414 628864056828