628418400 has 144 divisors (see below), whose sum is σ = 2116270800. Its totient is φ = 161781760.

The previous prime is 628418387. The next prime is 628418411. The reversal of 628418400 is 4814826.

628418400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65086 + ... + 74114.

It is an arithmetic number, because the mean of its divisors is an integer number (14696325).

Almost surely, 2^628418400 is an apocalyptic number.

628418400 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 628418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058135400).

628418400 is an abundant number, since it is smaller than the sum of its proper divisors (1487852400).

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

628418400 is a wasteful number, since it uses less digits than its factorization.

628418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9081 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 628418400 is about 25068.2747711126. The cubic root of 628418400 is about 856.5439085523.

The spelling of 628418400 in words is "six hundred twenty-eight million, four hundred eighteen thousand, four hundred".