88928128 has 64 divisors (see below), whose sum is σ = 184187520. Its totient is φ = 42739200.

The previous prime is 88928107. The next prime is 88928129. The reversal of 88928128 is 82182988.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88928129) 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 7 ways as a sum of consecutive naturals, for example, 588853 + ... + 589003.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2^88928128 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 88928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92093760).

88928128 is an abundant number, since it is smaller than the sum of its proper divisors (95259392).

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

88928128 is a wasteful number, since it uses less digits than its factorization.

88928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its digits is 147456, while the sum is 46.

The square root of 88928128 is about 9430.1711543322. The cubic root of 88928128 is about 446.3542936122.

It can be divided in two parts, 8892 and 8128, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 88928128 in words is "eighty-eight million, nine hundred twenty-eight thousand, one hundred twenty-eight".