628068672 has 504 divisors, whose sum is σ = 2432913600. Its totient is φ = 153538560.

The previous prime is 628068671. The next prime is 628068697. The reversal of 628068672 is 276860826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628068671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36945208 + ... + 36945224.

Almost surely, 2^628068672 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 628068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216456800).

628068672 is an abundant number, since it is smaller than the sum of its proper divisors (1804844928).

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

628068672 is a wasteful number, since it uses less digits than its factorization.

628068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 628068672 is about 25061.2982903919. The cubic root of 628068672 is about 856.3849841928.

The spelling of 628068672 in words is "six hundred twenty-eight million, sixty-eight thousand, six hundred seventy-two".