88432128 has 80 divisors (see below), whose sum is σ = 261806160. Its totient is φ = 29472768.

The previous prime is 88432117. The next prime is 88432139. The reversal of 88432128 is 82123488.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88432117) and next prime (88432139).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88432092 and 88432101.

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, 10626 + ... + 17022.

It is an arithmetic number, because the mean of its divisors is an integer number (3272577).

Almost surely, 2^88432128 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 88432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130903080).

88432128 is an abundant number, since it is smaller than the sum of its proper divisors (173374032).

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

88432128 is an equidigital number, since it uses as much as digits as its factorization.

88432128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6402 counting only the distinct ones).

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

The square root of 88432128 is about 9403.8358131137. The cubic root of 88432128 is about 445.5228933128.

The spelling of 88432128 in words is "eighty-eight million, four hundred thirty-two thousand, one hundred twenty-eight".