628003600 has 135 divisors (see below), whose sum is σ = 1764969717. Its totient is φ = 214112640.

The previous prime is 628003583. The next prime is 628003619. The reversal of 628003600 is 6300826.

The square root of 628003600 is 25060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 226081296 + 401922304 = 15036^2 + 20048^2 .

It is a super-2 number, since 2×628003600² = 788777043225920000, which contains 22 as substring.

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

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 3508311 + ... + 3508489.

Almost surely, 2^628003600 is an apocalyptic number.

628003600 is the 25060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628003600

628003600 is an abundant number, since it is smaller than the sum of its proper divisors (1136966117).

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

628003600 is a wasteful number, since it uses less digits than its factorization.

628003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 193 counting only the distinct ones).

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

The cubic root of 628003600 is about 856.3554074862.

Multiplying 628003600 by its sum of digits (25), we get a square (15700090000 = 125300²).

628003600 divided by its sum of digits (25) gives a square (25120144 = 5012²).

The spelling of 628003600 in words is "six hundred twenty-eight million, three thousand, six hundred".