128693448 has 80 divisors (see below), whose sum is σ = 388213980. Its totient is φ = 39595392.

The previous prime is 128693443. The next prime is 128693459. The reversal of 128693448 is 844396821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104898564 + 23794884 = 10242^2 + 4878^2 .

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

It is not an unprimeable number, because it can be changed into a prime (128693443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 786 + ... + 16062.

Almost surely, 2^128693448 is an apocalyptic number.

128693448 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 128693448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194106990).

128693448 is an abundant number, since it is smaller than the sum of its proper divisors (259520532).

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

128693448 is a wasteful number, since it uses less digits than its factorization.

128693448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15308 (or 15295 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 128693448 is about 11344.3134653447. The cubic root of 128693448 is about 504.8768748616.

The spelling of 128693448 in words is "one hundred twenty-eight million, six hundred ninety-three thousand, four hundred forty-eight".