87528 has 32 divisors (see below), whose sum is σ = 250560. Its totient is φ = 24960.

The previous prime is 87523. The next prime is 87539. The reversal of 87528 is 82578.

It is a super-2 number, since 2×87528² = 15322301568, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 87495 and 87504.

It is not an unprimeable number, because it can be changed into a prime (87523) by changing a digit.

87528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (7830).

2⁸⁷⁵²⁸ is an apocalyptic number.

It is an amenable number.

87528 is an abundant number, since it is smaller than the sum of its proper divisors (163032).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125280).

87528 is a wasteful number, since it uses less digits than its factorization.

87528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 87528 is about 295.8513140076. The cubic root of 87528 is about 44.3999350701.

Subtracting from 87528 its reverse (82578), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 875 and 28, that added together give a triangular number (903 = T₄₂).

The spelling of 87528 in words is "eighty-seven thousand, five hundred twenty-eight".