628446000 has 320 divisors, whose sum is σ = 2495840256. Its totient is φ = 132480000.

The previous prime is 628445971. The next prime is 628446001. The reversal of 628446000 is 644826.

628446000 = 85² + 86² + ... + 1235².

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

It is not an unprimeable number, because it can be changed into a prime (628446001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545425 + ... + 546575.

Almost surely, 2^628446000 is an apocalyptic number.

628446000 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 628446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247920128).

628446000 is an abundant number, since it is smaller than the sum of its proper divisors (1867394256).

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

628446000 is a wasteful number, since it uses less digits than its factorization.

628446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 628446000 is about 25068.8252616671. The cubic root of 628446000 is about 856.5564481097.

The spelling of 628446000 in words is "six hundred twenty-eight million, four hundred forty-six thousand".