628770816 has 192 divisors, whose sum is σ = 1898769600. Its totient is φ = 205553664.

The previous prime is 628770773. The next prime is 628770851. The reversal of 628770816 is 618077826.

628770816 is a `hidden beast` number, since 628 + 7 + 7 + 0 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4589500 + ... + 4589636.

It is an arithmetic number, because the mean of its divisors is an integer number (9889425).

Almost surely, 2^628770816 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 628770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949384800).

628770816 is an abundant number, since it is smaller than the sum of its proper divisors (1269998784).

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

628770816 is a wasteful number, since it uses less digits than its factorization.

628770816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 628770816 is about 25075.3029094366. The cubic root of 628770816 is about 856.7039947667.

The spelling of 628770816 in words is "six hundred twenty-eight million, seven hundred seventy thousand, eight hundred sixteen".