628036000 has 96 divisors (see below), whose sum is σ = 1552863312. Its totient is φ = 249625600.

The previous prime is 628035983. The next prime is 628036001. The reversal of 628036000 is 630826.

It can be written as a sum of positive squares in 8 ways, for example, as 141039376 + 486996624 = 11876^2 + 22068^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (628036001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 787602 + ... + 788398.

Almost surely, 2^628036000 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 628036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776431656).

628036000 is an abundant number, since it is smaller than the sum of its proper divisors (924827312).

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

628036000 is a wasteful number, since it uses less digits than its factorization.

628036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 628036000 is about 25060.6464401859. The cubic root of 628036000 is about 856.3701342798.

Adding to 628036000 its reverse (630826), we get a palindrome (628666826).

The spelling of 628036000 in words is "six hundred twenty-eight million, thirty-six thousand".