87082128 has 200 divisors, whose sum is σ = 298879680. Its totient is φ = 23950080.

The previous prime is 87082103. The next prime is 87082129. The reversal of 87082128 is 82128078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87082092 and 87082101.

It is not an unprimeable number, because it can be changed into a prime (87082129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262923 + ... + 263253.

Almost surely, 2^87082128 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 87082128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149439840).

87082128 is an abundant number, since it is smaller than the sum of its proper divisors (211797552).

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

87082128 is a wasteful number, since it uses less digits than its factorization.

87082128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87082128 is about 9331.7805374966. The cubic root of 87082128 is about 443.2441486168.

The spelling of 87082128 in words is "eighty-seven million, eighty-two thousand, one hundred twenty-eight".