628724618600217 has 32 divisors (see below), whose sum is σ = 841625214718080. Its totient is φ = 417489557667840.

The previous prime is 628724618600167. The next prime is 628724618600219. The reversal of 628724618600217 is 712006816427826.

It is not a de Polignac number, because 628724618600217 - 2⁶ = 628724618600153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (628724618600219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4499530209 + ... + 4499669937.

It is an arithmetic number, because the mean of its divisors is an integer number (26300787959940).

Almost surely, 2^{628724618600217} is an apocalyptic number.

It is an amenable number.

628724618600217 is a deficient number, since it is larger than the sum of its proper divisors (212900596117863).

628724618600217 is a wasteful number, since it uses less digits than its factorization.

628724618600217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144473.

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 628724618600217 in words is "six hundred twenty-eight trillion, seven hundred twenty-four billion, six hundred eighteen million, six hundred thousand, two hundred seventeen".