628258400 has 432 divisors, whose sum is σ = 2051868672. Its totient is φ = 185472000.

The previous prime is 628258391. The next prime is 628258403. The reversal of 628258400 is 4852826.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628258403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13367177 + ... + 13367223.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2^628258400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025934336).

628258400 is an abundant number, since it is smaller than the sum of its proper divisors (1423610272).

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

628258400 is a wasteful number, since it uses less digits than its factorization.

628258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 628258400 is about 25065.0832833246. The cubic root of 628258400 is about 856.4712082314.

The spelling of 628258400 in words is "six hundred twenty-eight million, two hundred fifty-eight thousand, four hundred".