128224098 has 54 divisors (see below), whose sum is σ = 297014211. Its totient is φ = 39970944.

The previous prime is 128224093. The next prime is 128224099. The reversal of 128224098 is 890422821.

It can be written as a sum of positive squares in 5 ways, for example, as 74597769 + 53626329 = 8637^2 + 7323^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8007.

It is not an unprimeable number, because it can be changed into a prime (128224093) 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 26 ways as a sum of consecutive naturals, for example, 816636 + ... + 816792.

Almost surely, 2^128224098 is an apocalyptic number.

128224098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128224098

128224098 is an abundant number, since it is smaller than the sum of its proper divisors (168790113).

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

128224098 is a wasteful number, since it uses less digits than its factorization.

128224098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 179 counting only the distinct ones).

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

The square root of 128224098 is about 11323.6079939214. The cubic root of 128224098 is about 504.2623586806.

Multiplying 128224098 by its product of nonzero digits (18432), we get a square (2363426574336 = 1537344²).

The spelling of 128224098 in words is "one hundred twenty-eight million, two hundred twenty-four thousand, ninety-eight".