1942993728 has 168 divisors, whose sum is σ = 6160620648. Its totient is φ = 581603328.

The previous prime is 1942993697. The next prime is 1942993753. The reversal of 1942993728 is 8273992491.

It can be written as a sum of positive squares in 4 ways, for example, as 643535424 + 1299458304 = 25368^2 + 36048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273550 + ... + 280562.

It is an arithmetic number, because the mean of its divisors is an integer number (36670361).

Almost surely, 2^1942993728 is an apocalyptic number.

1942993728 is a gapful number since it is divisible by the number (18) 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 1942993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080310324).

1942993728 is an abundant number, since it is smaller than the sum of its proper divisors (4217626920).

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

1942993728 is a wasteful number, since it uses less digits than its factorization.

1942993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7081 (or 7068 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1942993728 is about 44079.4025367858. The cubic root of 1942993728 is about 1247.8349140608.

The spelling of 1942993728 in words is "one billion, nine hundred forty-two million, nine hundred ninety-three thousand, seven hundred twenty-eight".