628202640 has 320 divisors, whose sum is σ = 2227357440. Its totient is φ = 145367040.

The previous prime is 628202639. The next prime is 628202651. The reversal of 628202640 is 46202826.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 628202598 and 628202607.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4795375 + ... + 4795505.

It is an arithmetic number, because the mean of its divisors is an integer number (6960492).

Almost surely, 2^628202640 is an apocalyptic number.

628202640 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 628202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113678720).

628202640 is an abundant number, since it is smaller than the sum of its proper divisors (1599154800).

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

628202640 is a wasteful number, since it uses less digits than its factorization.

628202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 628202640 is about 25063.9709543400. The cubic root of 628202640 is about 856.4458692692.

The spelling of 628202640 in words is "six hundred twenty-eight million, two hundred two thousand, six hundred forty".