628341840 has 320 divisors, whose sum is σ = 2560550400. Its totient is φ = 138571776.

The previous prime is 628341839. The next prime is 628341887. The reversal of 628341840 is 48143826.

628341840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 628341795 and 628341804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437764 + ... + 439196.

It is an arithmetic number, because the mean of its divisors is an integer number (8001720).

Almost surely, 2^628341840 is an apocalyptic number.

628341840 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 628341840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280275200).

628341840 is an abundant number, since it is smaller than the sum of its proper divisors (1932208560).

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

628341840 is a wasteful number, since it uses less digits than its factorization.

628341840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 628341840 is about 25066.7476949045. The cubic root of 628341840 is about 856.5091229886.

The spelling of 628341840 in words is "six hundred twenty-eight million, three hundred forty-one thousand, eight hundred forty".