88958435328 has 756 divisors, whose sum is σ = 326635420860. Its totient is φ = 24078974976.

The previous prime is 88958435323. The next prime is 88958435333. The reversal of 88958435328 is 82353485988.

88958435328 is a `hidden beast` number, since 8 + 8 + 9 + 58 + 43 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (88958435323) and next prime (88958435333).

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88958435323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4682022903 + ... + 4682022921.

It is an arithmetic number, because the mean of its divisors is an integer number (432057435).

Almost surely, 2^88958435328 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 88958435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163317710430).

88958435328 is an abundant number, since it is smaller than the sum of its proper divisors (237676985532).

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

88958435328 is an frugal number, since it uses more digits than its factorization.

88958435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 31 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 88958435328 in words is "eighty-eight billion, nine hundred fifty-eight million, four hundred thirty-five thousand, three hundred twenty-eight".