628948320 has 864 divisors, whose sum is σ = 2888542944. Its totient is φ = 113541120.

The previous prime is 628948301. The next prime is 628948321. The reversal of 628948320 is 23849826.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628948321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36996952 + ... + 36996968.

It is an arithmetic number, because the mean of its divisors is an integer number (3343221).

Almost surely, 2^628948320 is an apocalyptic number.

628948320 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 628948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444271472).

628948320 is an abundant number, since it is smaller than the sum of its proper divisors (2259594624).

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

628948320 is a wasteful number, since it uses less digits than its factorization.

628948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 628948320 is about 25078.8420785331. The cubic root of 628948320 is about 856.7846039354.

The spelling of 628948320 in words is "six hundred twenty-eight million, nine hundred forty-eight thousand, three hundred twenty".