628003320 has 128 divisors (see below), whose sum is σ = 2161728000. Its totient is φ = 142972416.

The previous prime is 628003291. The next prime is 628003349. The reversal of 628003320 is 23300826.

It is an interprime number because it is at equal distance from previous prime (628003291) and next prime (628003349).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231331 + ... + 234029.

It is an arithmetic number, because the mean of its divisors is an integer number (16888500).

Almost surely, 2^628003320 is an apocalyptic number.

628003320 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 628003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080864000).

628003320 is an abundant number, since it is smaller than the sum of its proper divisors (1533724680).

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

628003320 is a wasteful number, since it uses less digits than its factorization.

628003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 628003320 is about 25059.9944134072. The cubic root of 628003320 is about 856.3552802154.

The spelling of 628003320 in words is "six hundred twenty-eight million, three thousand, three hundred twenty".