87229441728 has 672 divisors, whose sum is σ = 310092986112. Its totient is φ = 23962521600.

The previous prime is 87229441721. The next prime is 87229441753. The reversal of 87229441728 is 82714492278.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87229441721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135659775 + ... + 135660417.

It is an arithmetic number, because the mean of its divisors is an integer number (461447896).

Almost surely, 2^87229441728 is an apocalyptic number.

87229441728 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 87229441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155046493056).

87229441728 is an abundant number, since it is smaller than the sum of its proper divisors (222863544384).

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

87229441728 is a wasteful number, since it uses less digits than its factorization.

87229441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 733 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 87229441728 in words is "eighty-seven billion, two hundred twenty-nine million, four hundred forty-one thousand, seven hundred twenty-eight".