628340736 has 96 divisors (see below), whose sum is σ = 1729728000. Its totient is φ = 202629120.

The previous prime is 628340693. The next prime is 628340753. The reversal of 628340736 is 637043826.

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

It is a junction number, because it is equal to n+sod(n) for n = 628340694 and 628340703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188815 + ... + 192113.

It is an arithmetic number, because the mean of its divisors is an integer number (18018000).

Almost surely, 2^628340736 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 628340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864000).

628340736 is an abundant number, since it is smaller than the sum of its proper divisors (1101387264).

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

628340736 is a wasteful number, since it uses less digits than its factorization.

628340736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 628340736 is about 25066.7256736894. The cubic root of 628340736 is about 856.5086213579.

The spelling of 628340736 in words is "six hundred twenty-eight million, three hundred forty thousand, seven hundred thirty-six".