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628042644 = 2232191019091
BaseRepresentation
bin100101011011110…
…010101110010100
31121202202212112200
4211123302232110
52241234331034
6142153044500
721364163055
oct4533625624
91552685480
10628042644
112a2571809
121563b6730
13a0166988
145d5a672c
153a20ba99
hex256f2b94

628042644 has 72 divisors (see below), whose sum is σ = 1687838880. Its totient is φ = 196344000.

The previous prime is 628042637. The next prime is 628042687. The reversal of 628042644 is 446240826.

It is a happy number.

628042644 is a `hidden beast` number, since 6 + 2 + 8 + 0 + 4 + 2 + 644 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 628042599 and 628042608.

It is a congruent number.

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, 64539 + ... + 73629.

Almost surely, 2628042644 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 628042644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843919440).

628042644 is an abundant number, since it is smaller than the sum of its proper divisors (1059796236).

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

628042644 is a wasteful number, since it uses less digits than its factorization.

628042644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 628042644 is about 25060.7789982674. The cubic root of 628042644 is about 856.3731541189.

The spelling of 628042644 in words is "six hundred twenty-eight million, forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 909 1212 1818 1919 3636 3838 5757 7676 9091 11514 17271 18182 23028 27273 34542 36364 54546 69084 81819 109092 163638 172729 327276 345458 518187 690916 918191 1036374 1554561 1836382 2072748 2754573 3109122 3672764 5509146 6218244 8263719 11018292 16527438 17445629 33054876 34891258 52336887 69782516 104673774 157010661 209347548 314021322 628042644