128868480 has 192 divisors, whose sum is σ = 479508120. Its totient is φ = 31703040.

The previous prime is 128868473. The next prime is 128868503. The reversal of 128868480 is 84868821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95413824 + 33454656 = 9768^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74020 + ... + 75740.

Almost surely, 2^128868480 is an apocalyptic number.

128868480 is a gapful number since it is divisible by the number (10) 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 128868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239754060).

128868480 is an abundant number, since it is smaller than the sum of its proper divisors (350639640).

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

128868480 is a wasteful number, since it uses less digits than its factorization.

128868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 128868480 is about 11352.0253699505. The cubic root of 128868480 is about 505.1056603407.

The spelling of 128868480 in words is "one hundred twenty-eight million, eight hundred sixty-eight thousand, four hundred eighty".