128249088 has 288 divisors, whose sum is σ = 423843840. Its totient is φ = 33914880.

The previous prime is 128249087. The next prime is 128249129. The reversal of 128249088 is 880942821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128249087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728681 + ... + 2728727.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^128249088 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 128249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

128249088 is an abundant number, since it is smaller than the sum of its proper divisors (295594752).

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

128249088 is a wasteful number, since it uses less digits than its factorization.

128249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 128249088 is about 11324.7113870509. The cubic root of 128249088 is about 504.2951156480.

It can be divided in two parts, 12824 and 9088, that added together give a palindrome (21912).

The spelling of 128249088 in words is "one hundred twenty-eight million, two hundred forty-nine thousand, eighty-eight".