1873561728 has 128 divisors (see below), whose sum is σ = 5259283200. Its totient is φ = 589317120.

The previous prime is 1873561727. The next prime is 1873561757. The reversal of 1873561728 is 8271653781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1873561727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3582075 + ... + 3582597.

It is an arithmetic number, because the mean of its divisors is an integer number (41088150).

Almost surely, 2^1873561728 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 1873561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629641600).

1873561728 is an abundant number, since it is smaller than the sum of its proper divisors (3385721472).

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

1873561728 is a wasteful number, since it uses less digits than its factorization.

1873561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 1873561728 is about 43284.6592686139. The cubic root of 1873561728 is about 1232.7906601765.

The spelling of 1873561728 in words is "one billion, eight hundred seventy-three million, five hundred sixty-one thousand, seven hundred twenty-eight".