88036128 has 72 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 29199744.

The previous prime is 88036087. The next prime is 88036129. The reversal of 88036128 is 82163088.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88036092 and 88036101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88036129) 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, 68193 + ... + 69471.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 2^88036128 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 88036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

88036128 is an abundant number, since it is smaller than the sum of its proper divisors (163560672).

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

88036128 is a wasteful number, since it uses less digits than its factorization.

88036128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88036128 is about 9382.7569509180. The cubic root of 88036128 is about 444.8568794470.

The spelling of 88036128 in words is "eighty-eight million, thirty-six thousand, one hundred twenty-eight".