87628688000 has 512 divisors, whose sum is σ = 257774400000. Its totient is φ = 29007052800.

The previous prime is 87628687999. The next prime is 87628688041. The reversal of 87628688000 is 88682678.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588111926 + ... + 588112074.

It is an arithmetic number, because the mean of its divisors is an integer number (503465625).

Almost surely, 2^87628688000 is an apocalyptic number.

87628688000 is a gapful number since it is divisible by the number (80) 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 87628688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200000).

87628688000 is an abundant number, since it is smaller than the sum of its proper divisors (170145712000).

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

87628688000 is a wasteful number, since it uses less digits than its factorization.

87628688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 87628688000 in words is "eighty-seven billion, six hundred twenty-eight million, six hundred eighty-eight thousand".