87862528 has 72 divisors (see below), whose sum is σ = 200111688. Its totient is φ = 38141952.

The previous prime is 87862513. The next prime is 87862561. The reversal of 87862528 is 82526878.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 86713344 = 1072^2 + 9312^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55800 + ... + 57352.

It is an arithmetic number, because the mean of its divisors is an integer number (2779329).

Almost surely, 2^87862528 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 87862528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100055844).

87862528 is an abundant number, since it is smaller than the sum of its proper divisors (112249160).

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

87862528 is a wasteful number, since it uses less digits than its factorization.

87862528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1585 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The square root of 87862528 is about 9373.5013735530. The cubic root of 87862528 is about 444.5642799821.

The spelling of 87862528 in words is "eighty-seven million, eight hundred sixty-two thousand, five hundred twenty-eight".