628396896 has 96 divisors (see below), whose sum is σ = 1676572128. Its totient is φ = 206069760.

The previous prime is 628396849. The next prime is 628396897. The reversal of 628396896 is 698693826.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (6718464) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628396897) 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 15 ways as a sum of consecutive naturals, for example, 2607336 + ... + 2607576.

It is an arithmetic number, because the mean of its divisors is an integer number (17464293).

Almost surely, 2^628396896 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 628396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838286064).

628396896 is an abundant number, since it is smaller than the sum of its proper divisors (1048175232).

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

628396896 is a wasteful number, since it uses less digits than its factorization.

628396896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 57.

The square root of 628396896 is about 25067.8458587889. The cubic root of 628396896 is about 856.5341383470.

The spelling of 628396896 in words is "six hundred twenty-eight million, three hundred ninety-six thousand, eight hundred ninety-six".