87241728 has 88 divisors (see below), whose sum is σ = 265815232. Its totient is φ = 24920064.

The previous prime is 87241723. The next prime is 87241769. The reversal of 87241728 is 82714278.

It is a super-2 number, since 2×87241728² = 15222238208851968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87241723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19476 + ... + 23532.

Almost surely, 2^87241728 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 87241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132907616).

87241728 is an abundant number, since it is smaller than the sum of its proper divisors (178573504).

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

87241728 is a wasteful number, since it uses less digits than its factorization.

87241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4069 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 87241728 is about 9340.3280456309. The cubic root of 87241728 is about 443.5147689852.

The spelling of 87241728 in words is "eighty-seven million, two hundred forty-one thousand, seven hundred twenty-eight".