880432128 has 132 divisors (see below), whose sum is σ = 2575093248. Its totient is φ = 289689600.

The previous prime is 880432123. The next prime is 880432129. The reversal of 880432128 is 821234088.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 880432092 and 880432101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880432121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764353 + ... + 765503.

Almost surely, 2^880432128 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 880432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287546624).

880432128 is an abundant number, since it is smaller than the sum of its proper divisors (1694661120).

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

880432128 is a wasteful number, since it uses less digits than its factorization.

880432128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 880432128 is about 29672.0765704054. The cubic root of 880432128 is about 958.4408023112.

The spelling of 880432128 in words is "eight hundred eighty million, four hundred thirty-two thousand, one hundred twenty-eight".