87067728 has 180 divisors, whose sum is σ = 283002720. Its totient is φ = 24900480.

The previous prime is 87067699. The next prime is 87067751. The reversal of 87067728 is 82776078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330925 + ... + 331187.

Almost surely, 2^87067728 is an apocalyptic number.

87067728 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 87067728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141501360).

87067728 is an abundant number, since it is smaller than the sum of its proper divisors (195934992).

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

87067728 is a wasteful number, since it uses less digits than its factorization.

87067728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 87067728 is about 9331.0089486614. The cubic root of 87067728 is about 443.2197154840.

The spelling of 87067728 in words is "eighty-seven million, sixty-seven thousand, seven hundred twenty-eight".