403628826304 has 84 divisors (see below), whose sum is σ = 881893838952. Its totient is φ = 183153034240.

The previous prime is 403628826301. The next prime is 403628826311.

403628826304 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (403628826301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4501332 + ... + 4590124.

It is an arithmetic number, because the mean of its divisors is an integer number (10498736178).

Almost surely, 2^403628826304 is an apocalyptic number.

403628826304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403628826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440946919476).

403628826304 is an abundant number, since it is smaller than the sum of its proper divisors (478265012648).

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

403628826304 is a wasteful number, since it uses less digits than its factorization.

403628826304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89414 (or 89393 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 403628826304 in words is "four hundred three billion, six hundred twenty-eight million, eight hundred twenty-six thousand, three hundred four".