88216128 has 560 divisors, whose sum is σ = 371758464. Its totient is φ = 19906560.

The previous prime is 88216123. The next prime is 88216169. The reversal of 88216128 is 82161288.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88216092 and 88216101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88216123) 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 79 ways as a sum of consecutive naturals, for example, 5189176 + ... + 5189192.

Almost surely, 2^88216128 is an apocalyptic number.

88216128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185879232).

88216128 is an abundant number, since it is smaller than the sum of its proper divisors (283542336).

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

88216128 is a wasteful number, since it uses less digits than its factorization.

88216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 88216128 is about 9392.3441163535. The cubic root of 88216128 is about 445.1598600844.

The spelling of 88216128 in words is "eighty-eight million, two hundred sixteen thousand, one hundred twenty-eight".