88735217328 has 120 divisors (see below), whose sum is σ = 249762474000. Its totient is φ = 29408804352.

The previous prime is 88735217327. The next prime is 88735217353. The reversal of 88735217328 is 82371253788.

88735217328 is a `hidden beast` number, since 8 + 87 + 3 + 521 + 7 + 32 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (88735217323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32875723 + ... + 32878421.

It is an arithmetic number, because the mean of its divisors is an integer number (2081353950).

Almost surely, 2^88735217328 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 88735217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124881237000).

88735217328 is an abundant number, since it is smaller than the sum of its proper divisors (161027256672).

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

88735217328 is a wasteful number, since it uses less digits than its factorization.

88735217328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3930 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 88735217328 in words is "eighty-eight billion, seven hundred thirty-five million, two hundred seventeen thousand, three hundred twenty-eight".