628824000 has 448 divisors, whose sum is σ = 2510576640. Its totient is φ = 135475200.

The previous prime is 628823983. The next prime is 628824029. The reversal of 628824000 is 428826.

It is a happy number.

628824000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3191902 + ... + 3192098.

Almost surely, 2^628824000 is an apocalyptic number.

628824000 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 628824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255288320).

628824000 is an abundant number, since it is smaller than the sum of its proper divisors (1881752640).

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

628824000 is a wasteful number, since it uses less digits than its factorization.

628824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 628824000 is about 25076.3633727062. The cubic root of 628824000 is about 856.7281485917.

The spelling of 628824000 in words is "six hundred twenty-eight million, eight hundred twenty-four thousand".