88643544528 has 320 divisors, whose sum is σ = 301146439680. Its totient is φ = 21767616000.

The previous prime is 88643544527. The next prime is 88643544529. The reversal of 88643544528 is 82544534688.

It is an interprime number because it is at equal distance from previous prime (88643544527) and next prime (88643544529).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88643544527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45433953 + ... + 45435903.

It is an arithmetic number, because the mean of its divisors is an integer number (941082624).

Almost surely, 2^88643544528 is an apocalyptic number.

88643544528 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 88643544528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150573219840).

88643544528 is an abundant number, since it is smaller than the sum of its proper divisors (212502895152).

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

88643544528 is a wasteful number, since it uses less digits than its factorization.

88643544528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2640 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 57.

The spelling of 88643544528 in words is "eighty-eight billion, six hundred forty-three million, five hundred forty-four thousand, five hundred twenty-eight".