1742993728 has 224 divisors, whose sum is σ = 4506163200. Its totient is φ = 651442176.

The previous prime is 1742993723. The next prime is 1742993737. The reversal of 1742993728 is 8273992471.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742993723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5677351 + ... + 5677657.

It is an arithmetic number, because the mean of its divisors is an integer number (20116800).

Almost surely, 2^1742993728 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 1742993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253081600).

1742993728 is an abundant number, since it is smaller than the sum of its proper divisors (2763169472).

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

1742993728 is a wasteful number, since it uses less digits than its factorization.

1742993728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The square root of 1742993728 is about 41749.1763751095. The cubic root of 1742993728 is about 1203.4607799440.

The spelling of 1742993728 in words is "one billion, seven hundred forty-two million, nine hundred ninety-three thousand, seven hundred twenty-eight".