128364480 has 224 divisors, whose sum is σ = 460857600. Its totient is φ = 33629184.

The previous prime is 128364461. The next prime is 128364491. The reversal of 128364480 is 84463821.

128364480 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 644 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717031 + ... + 717209.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^128364480 is an apocalyptic number.

128364480 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 128364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

128364480 is an abundant number, since it is smaller than the sum of its proper divisors (332493120).

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

128364480 is a wasteful number, since it uses less digits than its factorization.

128364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 128364480 is about 11329.8049409511. The cubic root of 128364480 is about 504.4463166662.

The spelling of 128364480 in words is "one hundred twenty-eight million, three hundred sixty-four thousand, four hundred eighty".