628450977001 has 27 divisors (see below), whose sum is σ = 652433858647. Its totient is φ = 605343136400.

The previous prime is 628450976999. The next prime is 628450977059. The reversal of 628450977001 is 100779054826.

The square root of 628450977001 is 792749.

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., 603808256601 + 24642720400 = 777051^2 + 156980^2 .

It is not a de Polignac number, because 628450977001 - 2¹ = 628450976999 is a prime.

It is a super-2 number, since 2×628450977001² (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 (628450977101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3763179420 + ... + 3763179586.

Almost surely, 2^628450977001 is an apocalyptic number.

628450977001 is the 792749-th square number.

628450977001 is the 396375-th centered octagonal number.

It is an amenable number.

628450977001 is a deficient number, since it is larger than the sum of its proper divisors (23982881646).

628450977001 is an frugal number, since it uses more digits than its factorization.

628450977001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 628450977001 by its sum of digits (49), we get a square (30794097873049 = 5549243²).

The spelling of 628450977001 in words is "six hundred twenty-eight billion, four hundred fifty million, nine hundred seventy-seven thousand, one".