628456654826 has 128 divisors (see below), whose sum is σ = 1272015360000. Its totient is φ = 224894568960.

The previous prime is 628456654811. The next prime is 628456654841.

It is a happy number.

628456654826 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (628456654811) and next prime (628456654841).

It is a super-2 number, since 2×628456654826² (a number of 24 digits) contains 22 as substring.

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, 438559406 + ... + 438560838.

It is an arithmetic number, because the mean of its divisors is an integer number (9937620000).

Almost surely, 2^628456654826 is an apocalyptic number.

628456654826 is an abundant number, since it is smaller than the sum of its proper divisors (643558705174).

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

628456654826 is a wasteful number, since it uses less digits than its factorization.

628456654826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404.

The product of its digits is 132710400, while the sum is 62.

The spelling of 628456654826 in words is "six hundred twenty-eight billion, four hundred fifty-six million, six hundred fifty-four thousand, eight hundred twenty-six".