628057835001 has 9 divisors (see below), whose sum is σ = 907198084741. Its totient is φ = 418703638332.

The previous prime is 628057834933. The next prime is 628057835003. The reversal of 628057835001 is 100538750826.

The square root of 628057835001 is 792501.

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

628057835001 is a `hidden beast` number, since 6 + 28 + 0 + 578 + 3 + 50 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 628057835001 - 2¹⁵ = 628057802233 is a prime.

It is a super-2 number, since 2×628057835001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (628057835003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2245420 + ... + 2509586.

Almost surely, 2^628057835001 is an apocalyptic number.

628057835001 is the 792501-st square number.

628057835001 is the 396251-st centered octagonal number.

It is an amenable number.

628057835001 is a deficient number, since it is larger than the sum of its proper divisors (279140249740).

628057835001 is an frugal number, since it uses more digits than its factorization.

628057835001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528340 (or 264170 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 628057835001 in words is "six hundred twenty-eight billion, fifty-seven million, eight hundred thirty-five thousand, one".