128462022528 has 256 divisors, whose sum is σ = 399918858240. Its totient is φ = 35771258880.

The previous prime is 128462022499. The next prime is 128462022629. The reversal of 128462022528 is 825220264821.

It is a happy number.

128462022528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 128462022528.

It is a congruent number.

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, 70158573 + ... + 70160403.

It is an arithmetic number, because the mean of its divisors is an integer number (1562183040).

Almost surely, 2^128462022528 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 128462022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199959429120).

128462022528 is an abundant number, since it is smaller than the sum of its proper divisors (271456835712).

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

128462022528 is a wasteful number, since it uses less digits than its factorization.

128462022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 128462022528 in words is "one hundred twenty-eight billion, four hundred sixty-two million, twenty-two thousand, five hundred twenty-eight".