88128000 has 400 divisors, whose sum is σ = 347582664. Its totient is φ = 22118400.

The previous prime is 88127999. The next prime is 88128011. The reversal of 88128000 is 82188.

It can be written as a sum of positive squares in 4 ways, for example, as 38340864 + 49787136 = 6192^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183992 + ... + 5184008.

Almost surely, 2^88128000 is an apocalyptic number.

88128000 is a gapful number since it is divisible by the number (80) 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 88128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173791332).

88128000 is an abundant number, since it is smaller than the sum of its proper divisors (259454664).

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

88128000 is an equidigital number, since it uses as much as digits as its factorization.

88128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 88128000 is about 9387.6514634918. The cubic root of 88128000 is about 445.0115723119.

The spelling of 88128000 in words is "eighty-eight million, one hundred twenty-eight thousand".