88492032 has 72 divisors (see below), whose sum is σ = 255634470. Its totient is φ = 29491200.

The previous prime is 88492031. The next prime is 88492081. The reversal of 88492032 is 23029488.

It can be written as a sum of positive squares in only one way, i.e., 72999936 + 15492096 = 8544^2 + 3936^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (88492031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16032 + ... + 20832.

Almost surely, 2^88492032 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 88492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127817235).

88492032 is an abundant number, since it is smaller than the sum of its proper divisors (167142438).

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

88492032 is a wasteful number, since it uses less digits than its factorization.

88492032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88492032 is about 9407.0203571588. The cubic root of 88492032 is about 445.6234698037.

The spelling of 88492032 in words is "eighty-eight million, four hundred ninety-two thousand, thirty-two".