87217328 has 40 divisors (see below), whose sum is σ = 185114640. Its totient is φ = 39479040.

The previous prime is 87217321. The next prime is 87217337. The reversal of 87217328 is 82371278.

It is a junction number, because it is equal to n+sod(n) for n = 87217291 and 87217300.

It is not an unprimeable number, because it can be changed into a prime (87217321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47858 + ... + 49646.

It is an arithmetic number, because the mean of its divisors is an integer number (4627866).

Almost surely, 2^87217328 is an apocalyptic number.

87217328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92557320).

87217328 is an abundant number, since it is smaller than the sum of its proper divisors (97897312).

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

87217328 is a wasteful number, since it uses less digits than its factorization.

87217328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2079 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 87217328 is about 9339.0217903162. The cubic root of 87217328 is about 443.4734173306.

The spelling of 87217328 in words is "eighty-seven million, two hundred seventeen thousand, three hundred twenty-eight".