1628291312304 has 40 divisors (see below), whose sum is σ = 4389307018752. Its totient is φ = 519165345600.

The previous prime is 1628291312299. The next prime is 1628291312309. The reversal of 1628291312304 is 4032131928261.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1628291312299) and next prime (1628291312309).

It is not an unprimeable number, because it can be changed into a prime (1628291312309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737449672 + ... + 737451879.

Almost surely, 2^{1628291312304} is an apocalyptic number.

It is an amenable number.

1628291312304 is an abundant number, since it is smaller than the sum of its proper divisors (2761015706448).

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

1628291312304 is a wasteful number, since it uses less digits than its factorization.

1628291312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474901585 (or 1474901579 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1628291312304 in words is "one trillion, six hundred twenty-eight billion, two hundred ninety-one million, three hundred twelve thousand, three hundred four".