87577728 has 128 divisors (see below), whose sum is σ = 274698240. Its totient is φ = 24192000.

The previous prime is 87577723. The next prime is 87577733. The reversal of 87577728 is 82777578.

It is an interprime number because it is at equal distance from previous prime (87577723) and next prime (87577733).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (87577723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82803 + ... + 83853.

It is an arithmetic number, because the mean of its divisors is an integer number (2146080).

Almost surely, 2^87577728 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 87577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137349120).

87577728 is an abundant number, since it is smaller than the sum of its proper divisors (187120512).

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

87577728 is a wasteful number, since it uses less digits than its factorization.

87577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1094 counting only the distinct ones).

The product of its digits is 1536640, while the sum is 51.

The square root of 87577728 is about 9358.2972810229. The cubic root of 87577728 is about 444.0834191123.

The spelling of 87577728 in words is "eighty-seven million, five hundred seventy-seven thousand, seven hundred twenty-eight".