88428032 has 80 divisors (see below), whose sum is σ = 220378752. Its totient is φ = 34437120.

The previous prime is 88428029. The next prime is 88428049. The reversal of 88428032 is 23082488.

It is a junction number, because it is equal to n+sod(n) for n = 88427983 and 88428001.

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, 38303 + ... + 40545.

Almost surely, 2^88428032 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 88428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110189376).

88428032 is an abundant number, since it is smaller than the sum of its proper divisors (131950720).

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

88428032 is a wasteful number, since it uses less digits than its factorization.

88428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 88428032 is about 9403.6180271213. The cubic root of 88428032 is about 445.5160146289.

The spelling of 88428032 in words is "eighty-eight million, four hundred twenty-eight thousand, thirty-two".