628395840 has 224 divisors, whose sum is σ = 2233330560. Its totient is φ = 166330368.

The previous prime is 628395839. The next prime is 628395869. The reversal of 628395840 is 48593826.

628395840 is a `hidden beast` number, since 62 + 8 + 3 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2220339 + ... + 2220621.

Almost surely, 2^628395840 is an apocalyptic number.

628395840 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 628395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116665280).

628395840 is an abundant number, since it is smaller than the sum of its proper divisors (1604934720).

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

628395840 is a wasteful number, since it uses less digits than its factorization.

628395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 628395840 is about 25067.8247959411. The cubic root of 628395840 is about 856.5336585544.

The spelling of 628395840 in words is "six hundred twenty-eight million, three hundred ninety-five thousand, eight hundred forty".