958488768 has 112 divisors (see below), whose sum is σ = 2836529760. Its totient is φ = 317371392.

The previous prime is 958488761. The next prime is 958488779. The reversal of 958488768 is 867884859.

958488768 is a `hidden beast` number, since 95 + 8 + 488 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (958488761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269530 + ... + 273062.

Almost surely, 2^958488768 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 958488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418264880).

958488768 is an abundant number, since it is smaller than the sum of its proper divisors (1878040992).

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

958488768 is a wasteful number, since it uses less digits than its factorization.

958488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3695 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The square root of 958488768 is about 30959.4697629013. The cubic root of 958488768 is about 985.9669163977.

The spelling of 958488768 in words is "nine hundred fifty-eight million, four hundred eighty-eight thousand, seven hundred sixty-eight".