868480128 has 192 divisors, whose sum is σ = 2619751680. Its totient is φ = 275834880.

The previous prime is 868480103. The next prime is 868480153. The reversal of 868480128 is 821084868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (868480103) and next prime (868480153).

It is a tau number, because it is divible by the number of its divisors (192).

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, 2963950 + ... + 2964242.

It is an arithmetic number, because the mean of its divisors is an integer number (13644540).

Almost surely, 2^868480128 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 868480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

868480128 is an abundant number, since it is smaller than the sum of its proper divisors (1751271552).

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

868480128 is a wasteful number, since it uses less digits than its factorization.

868480128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 868480128 is about 29469.9869019313. The cubic root of 868480128 is about 954.0840346317.

The spelling of 868480128 in words is "eight hundred sixty-eight million, four hundred eighty thousand, one hundred twenty-eight".