628624505 has 32 divisors (see below), whose sum is σ = 790963488. Its totient is φ = 479232000.

The previous prime is 628624499. The next prime is 628624543. The reversal of 628624505 is 505426826.

It can be written as a sum of positive squares in 16 ways, for example, as 342879289 + 285745216 = 18517^2 + 16904^2 .

It is not a de Polignac number, because 628624505 - 2¹⁰ = 628623481 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008229 + ... + 2008541.

It is an arithmetic number, because the mean of its divisors is an integer number (24717609).

Almost surely, 2^628624505 is an apocalyptic number.

It is an amenable number.

628624505 is a deficient number, since it is larger than the sum of its proper divisors (162338983).

628624505 is a wasteful number, since it uses less digits than its factorization.

628624505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 628624505 is about 25072.3853073456. The cubic root of 628624505 is about 856.6375397412.

The spelling of 628624505 in words is "six hundred twenty-eight million, six hundred twenty-four thousand, five hundred five".