1958971728 has 160 divisors (see below), whose sum is σ = 5915621376. Its totient is φ = 547075584.

The previous prime is 1958971711. The next prime is 1958971793. The reversal of 1958971728 is 8271798591.

It is a super-2 number, since 2×1958971728² = 7675140462206611968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3894325 + ... + 3894827.

Almost surely, 2^1958971728 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 1958971728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957810688).

1958971728 is an abundant number, since it is smaller than the sum of its proper divisors (3956649648).

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

1958971728 is a wasteful number, since it uses less digits than its factorization.

1958971728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 57.

The square root of 1958971728 is about 44260.2725703311. The cubic root of 1958971728 is about 1251.2460594293.

The spelling of 1958971728 in words is "one billion, nine hundred fifty-eight million, nine hundred seventy-one thousand, seven hundred twenty-eight".