128508032 has 64 divisors (see below), whose sum is σ = 275124600. Its totient is φ = 59572224.

The previous prime is 128508013. The next prime is 128508043. The reversal of 128508032 is 230805821.

It can be written as a sum of positive squares in 4 ways, for example, as 128504896 + 3136 = 11336^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 128507986 and 128508004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158444 + ... + 159252.

Almost surely, 2^128508032 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 128508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137562300).

128508032 is an abundant number, since it is smaller than the sum of its proper divisors (146616568).

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

128508032 is an equidigital number, since it uses as much as digits as its factorization.

128508032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 128508032 is about 11336.1383195513. The cubic root of 128508032 is about 504.6342900069.

It can be divided in two parts, 128 and 508032, that multiplied together give a square (65028096 = 8064²).

The spelling of 128508032 in words is "one hundred twenty-eight million, five hundred eight thousand, thirty-two".