88811128 has 48 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 35820288.

The previous prime is 88811123. The next prime is 88811147. The reversal of 88811128 is 82111888.

It is a happy number.

88811128 is a nontrivial binomial coefficient, being equal to C(13328, 2).

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 (88811123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 13327.

It is an arithmetic number, because the mean of its divisors is an integer number (4273290).

Almost surely, 2^88811128 is an apocalyptic number.

88811128 is the 13327-th triangular number and also the 6664-th hexagonal number.

88811128 is the 4443-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88811128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

88811128 is an abundant number, since it is smaller than the sum of its proper divisors (116306792).

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

88811128 is a wasteful number, since it uses less digits than its factorization.

88811128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13353 counting only the distinct ones).

The product of its digits is 8192, while the sum is 37.

The square root of 88811128 is about 9423.9656196317. The cubic root of 88811128 is about 446.1584561675.

The spelling of 88811128 in words is "eighty-eight million, eight hundred eleven thousand, one hundred twenty-eight".