1958791296 has 256 divisors, whose sum is σ = 6699294720. Its totient is φ = 492134400.

The previous prime is 1958791279. The next prime is 1958791309. The reversal of 1958791296 is 6921978591.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915540 + ... + 917676.

It is an arithmetic number, because the mean of its divisors is an integer number (26169120).

Almost surely, 2^1958791296 is an apocalyptic number.

1958791296 is a gapful number since it is divisible by the number (16) 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 1958791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349647360).

1958791296 is an abundant number, since it is smaller than the sum of its proper divisors (4740503424).

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

1958791296 is a wasteful number, since it uses less digits than its factorization.

1958791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2191 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 57.

The square root of 1958791296 is about 44258.2342169228. The cubic root of 1958791296 is about 1251.2076427169.

The spelling of 1958791296 in words is "one billion, nine hundred fifty-eight million, seven hundred ninety-one thousand, two hundred ninety-six".