128405088 has 216 divisors, whose sum is σ = 441807912. Its totient is φ = 36578304.

The previous prime is 128405087. The next prime is 128405089. The reversal of 128405088 is 880504821.

It is an interprime number because it is at equal distance from previous prime (128405087) and next prime (128405089).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128405087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380856 + ... + 381192.

It is an arithmetic number, because the mean of its divisors is an integer number (2045407).

Almost surely, 2^128405088 is an apocalyptic number.

128405088 is a gapful number since it is divisible by the number (18) 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 128405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220903956).

128405088 is an abundant number, since it is smaller than the sum of its proper divisors (313402824).

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

128405088 is an equidigital number, since it uses as much as digits as its factorization.

128405088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 128405088 is about 11331.5968865822. The cubic root of 128405088 is about 504.4995047868.

The spelling of 128405088 in words is "one hundred twenty-eight million, four hundred five thousand, eighty-eight".