88128768 has 216 divisors, whose sum is σ = 293256768. Its totient is φ = 23003136.

The previous prime is 88128763. The next prime is 88128787. The reversal of 88128768 is 86782188.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (88128763) 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, 908496 + ... + 908592.

Almost surely, 2^88128768 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 88128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146628384).

88128768 is an abundant number, since it is smaller than the sum of its proper divisors (205128000).

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

88128768 is a wasteful number, since it uses less digits than its factorization.

88128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 88128768 is about 9387.6923682021. The cubic root of 88128768 is about 445.0128650070.

The spelling of 88128768 in words is "eighty-eight million, one hundred twenty-eight thousand, seven hundred sixty-eight".