128522032 has 40 divisors (see below), whose sum is σ = 261947520. Its totient is φ = 61002240.

The previous prime is 128521957. The next prime is 128522071. The reversal of 128522032 is 230225821.

It is a junction number, because it is equal to n+sod(n) for n = 128521988 and 128522006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23844 + ... + 28732.

It is an arithmetic number, because the mean of its divisors is an integer number (6548688).

Almost surely, 2^128522032 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 128522032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130973760).

128522032 is an abundant number, since it is smaller than the sum of its proper divisors (133425488).

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

128522032 is a wasteful number, since it uses less digits than its factorization.

128522032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 128522032 is about 11336.7557969641. The cubic root of 128522032 is about 504.6526147332.

Adding to 128522032 its reverse (230225821), we get a palindrome (358747853).

It can be divided in two parts, 12852 and 2032, that added together give a square (14884 = 122²).

The spelling of 128522032 in words is "one hundred twenty-eight million, five hundred twenty-two thousand, thirty-two".