1872813509728 has 288 divisors, whose sum is σ = 4612168512000. Its totient is φ = 746849714688.

The previous prime is 1872813509689. The next prime is 1872813509737. The reversal of 1872813509728 is 8279053182781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345598603 + ... + 345604021.

It is an arithmetic number, because the mean of its divisors is an integer number (16014474000).

Almost surely, 2^{1872813509728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1872813509728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306084256000).

1872813509728 is an abundant number, since it is smaller than the sum of its proper divisors (2739355002272).

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

1872813509728 is an equidigital number, since it uses as much as digits as its factorization.

1872813509728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5547 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 61.

The spelling of 1872813509728 in words is "one trillion, eight hundred seventy-two billion, eight hundred thirteen million, five hundred nine thousand, seven hundred twenty-eight".