87751728 has 80 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 27708480.

The previous prime is 87751723. The next prime is 87751757. The reversal of 87751728 is 82715778.

It is not an unprimeable number, because it can be changed into a prime (87751723) 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, 2863 + ... + 13553.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^87751728 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 87751728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

87751728 is an abundant number, since it is smaller than the sum of its proper divisors (177409872).

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

87751728 is a wasteful number, since it uses less digits than its factorization.

87751728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10715 counting only the distinct ones).

The product of its digits is 219520, while the sum is 45.

The square root of 87751728 is about 9367.5892309601. The cubic root of 87751728 is about 444.3773271612.

The spelling of 87751728 in words is "eighty-seven million, seven hundred fifty-one thousand, seven hundred twenty-eight".