88093728 has 144 divisors (see below), whose sum is σ = 279508320. Its totient is φ = 26155008.

The previous prime is 88093637. The next prime is 88093729. The reversal of 88093728 is 82739088.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (88093729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92551 + ... + 93497.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^88093728 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 88093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139754160).

88093728 is an abundant number, since it is smaller than the sum of its proper divisors (191414592).

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

88093728 is a wasteful number, since it uses less digits than its factorization.

88093728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 88093728 is about 9385.8259093167. The cubic root of 88093728 is about 444.9538781471.

The spelling of 88093728 in words is "eighty-eight million, ninety-three thousand, seven hundred twenty-eight".