88284032 has 64 divisors (see below), whose sum is σ = 191270400. Its totient is φ = 40435200.

The previous prime is 88283981. The next prime is 88284041. The reversal of 88284032 is 23048288.

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 = 88283983 and 88284001.

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, 74807 + ... + 75977.

It is an arithmetic number, because the mean of its divisors is an integer number (2988600).

Almost surely, 2^88284032 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 88284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95635200).

88284032 is an abundant number, since it is smaller than the sum of its proper divisors (102986368).

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

88284032 is a wasteful number, since it uses less digits than its factorization.

88284032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1223 counting only the distinct ones).

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

The square root of 88284032 is about 9395.9582800266. The cubic root of 88284032 is about 445.2740507778.

The spelling of 88284032 in words is "eighty-eight million, two hundred eighty-four thousand, thirty-two".