628198320 has 80 divisors (see below), whose sum is σ = 1952375040. Its totient is φ = 167092992.

The previous prime is 628198303. The next prime is 628198343. The reversal of 628198320 is 23891826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 97437 + ... + 103683.

It is an arithmetic number, because the mean of its divisors is an integer number (24404688).

Almost surely, 2^628198320 is an apocalyptic number.

628198320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976187520).

628198320 is an abundant number, since it is smaller than the sum of its proper divisors (1324176720).

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

628198320 is a wasteful number, since it uses less digits than its factorization.

628198320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 628198320 is about 25063.8847747112. The cubic root of 628198320 is about 856.4439060732.

The spelling of 628198320 in words is "six hundred twenty-eight million, one hundred ninety-eight thousand, three hundred twenty".