87872328 has 96 divisors (see below), whose sum is σ = 253843200. Its totient is φ = 27396864.

The previous prime is 87872293. The next prime is 87872329. The reversal of 87872328 is 82327878.

87872328 = T₄₈₇ + T₄₈₈ + ... + T₈₆₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87872329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77268 + ... + 78396.

It is an arithmetic number, because the mean of its divisors is an integer number (2644200).

Almost surely, 2^87872328 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 87872328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126921600).

87872328 is an abundant number, since it is smaller than the sum of its proper divisors (165970872).

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

87872328 is a wasteful number, since it uses less digits than its factorization.

87872328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1204 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 87872328 is about 9374.0241092073. The cubic root of 87872328 is about 444.5808079533.

The spelling of 87872328 in words is "eighty-seven million, eight hundred seventy-two thousand, three hundred twenty-eight".