87438528 has 140 divisors (see below), whose sum is σ = 263328912. Its totient is φ = 28684800.

The previous prime is 87438521. The next prime is 87438529. The reversal of 87438528 is 82583478.

87438528 is a `hidden beast` number, since 87 + 43 + 8 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (87438521) 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 19 ways as a sum of consecutive naturals, for example, 523501 + ... + 523667.

Almost surely, 2^87438528 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 87438528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131664456).

87438528 is an abundant number, since it is smaller than the sum of its proper divisors (175890384).

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

87438528 is a wasteful number, since it uses less digits than its factorization.

87438528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 87438528 is about 9350.8570730174. The cubic root of 87438528 is about 443.8480122588.

It can be divided in two parts, 8743 and 8528, that added together give a palindrome (17271).

The spelling of 87438528 in words is "eighty-seven million, four hundred thirty-eight thousand, five hundred twenty-eight".