628803840 has 288 divisors, whose sum is σ = 2325254400. Its totient is φ = 141852672.

The previous prime is 628803829. The next prime is 628803853. The reversal of 628803840 is 48308826.

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, 4005042 + ... + 4005198.

It is an arithmetic number, because the mean of its divisors is an integer number (8073800).

Almost surely, 2^628803840 is an apocalyptic number.

628803840 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 628803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162627200).

628803840 is an abundant number, since it is smaller than the sum of its proper divisors (1696450560).

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

628803840 is a wasteful number, since it uses less digits than its factorization.

628803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 628803840 is about 25075.9613973223. The cubic root of 628803840 is about 856.7189929699.

The spelling of 628803840 in words is "six hundred twenty-eight million, eight hundred three thousand, eight hundred forty".