1958768448 has 224 divisors, whose sum is σ = 6472488960. Its totient is φ = 508999680.

The previous prime is 1958768443. The next prime is 1958768479. The reversal of 1958768448 is 8448678591.

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

It is a junction number, because it is equal to n+sod(n) for n = 1958768391 and 1958768400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958768443) 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 31 ways as a sum of consecutive naturals, for example, 1239723 + ... + 1241301.

It is an arithmetic number, because the mean of its divisors is an integer number (28895040).

Almost surely, 2^1958768448 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 1958768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236244480).

1958768448 is an abundant number, since it is smaller than the sum of its proper divisors (4513720512).

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

1958768448 is a wasteful number, since it uses less digits than its factorization.

1958768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1675 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 60.

The square root of 1958768448 is about 44257.9760947109. The cubic root of 1958768448 is about 1251.2027778625.

The spelling of 1958768448 in words is "one billion, nine hundred fifty-eight million, seven hundred sixty-eight thousand, four hundred forty-eight".