628755625 has 45 divisors (see below), whose sum is σ = 849014947. Its totient is φ = 465392000.

The previous prime is 628755601. The next prime is 628755629. The reversal of 628755625 is 526557826.

The square root of 628755625 is 25075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 307055529 + 321700096 = 17523^2 + 17936^2 .

It is not a de Polignac number, because 628755625 - 2¹¹ = 628753577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (628755629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10656846 + ... + 10656904.

Almost surely, 2^628755625 is an apocalyptic number.

628755625 is the 25075-th square number.

628755625 is the 12538-th centered octagonal number.

It is an amenable number.

628755625 is a deficient number, since it is larger than the sum of its proper divisors (220259322).

628755625 is an frugal number, since it uses more digits than its factorization.

628755625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 46.

The cubic root of 628755625 is about 856.6970954350.

The spelling of 628755625 in words is "six hundred twenty-eight million, seven hundred fifty-five thousand, six hundred twenty-five".