128954880 has 240 divisors, whose sum is σ = 464401080. Its totient is φ = 33030144.

The previous prime is 128954873. The next prime is 128954899. The reversal of 128954880 is 88459821.

It is a happy number.

128954880 is a `hidden beast` number, since 1 + 28 + 9 + 548 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89415936 + 39538944 = 9456^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×128954880³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 668064 + ... + 668256.

Almost surely, 2^128954880 is an apocalyptic number.

128954880 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 128954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232200540).

128954880 is an abundant number, since it is smaller than the sum of its proper divisors (335446200).

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

128954880 is a wasteful number, since it uses less digits than its factorization.

128954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 128954880 is about 11355.8302206400. The cubic root of 128954880 is about 505.2185179860.

It can be divided in two parts, 1289 and 54880, that added together give a square (56169 = 237²).

The spelling of 128954880 in words is "one hundred twenty-eight million, nine hundred fifty-four thousand, eight hundred eighty".