1628201013296 has 160 divisors (see below), whose sum is σ = 3771658598400. Its totient is φ = 671102576640.

The previous prime is 1628201013251. The next prime is 1628201013301. The reversal of 1628201013296 is 6923101028261.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237447500 + ... + 237454356.

It is an arithmetic number, because the mean of its divisors is an integer number (23572866240).

Almost surely, 2^{1628201013296} is an apocalyptic number.

1628201013296 is a gapful number since it is divisible by the number (16) 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 1628201013296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885829299200).

1628201013296 is an abundant number, since it is smaller than the sum of its proper divisors (2143457585104).

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

1628201013296 is a wasteful number, since it uses less digits than its factorization.

1628201013296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 1628201013296 in words is "one trillion, six hundred twenty-eight billion, two hundred one million, thirteen thousand, two hundred ninety-six".