628458854826 has 128 divisors (see below), whose sum is σ = 1447115155200. Its totient is φ = 180170332160.

The previous prime is 628458854819. The next prime is 628458854831.

628458854826 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86932180 + ... + 86939408.

It is an arithmetic number, because the mean of its divisors is an integer number (11305587150).

Almost surely, 2^628458854826 is an apocalyptic number.

628458854826 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 628458854826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723557577600).

628458854826 is an abundant number, since it is smaller than the sum of its proper divisors (818656300374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628458854826 is a wasteful number, since it uses less digits than its factorization.

628458854826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184.

The product of its digits is 235929600, while the sum is 66.

The spelling of 628458854826 in words is "six hundred twenty-eight billion, four hundred fifty-eight million, eight hundred fifty-four thousand, eight hundred twenty-six".