128493378 has 160 divisors (see below), whose sum is σ = 340656624. Its totient is φ = 35831808.

The previous prime is 128493377. The next prime is 128493437. The reversal of 128493378 is 873394821.

128493378 is a `hidden beast` number, since 128 + 493 + 37 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 83777409 + 44715969 = 9153^2 + 6687^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128493377) 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 79 ways as a sum of consecutive naturals, for example, 1324626 + ... + 1324722.

Almost surely, 2^128493378 is an apocalyptic number.

128493378 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 128493378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170328312).

128493378 is an abundant number, since it is smaller than the sum of its proper divisors (212163246).

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

128493378 is a wasteful number, since it uses less digits than its factorization.

128493378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 128493378 is about 11335.4919610928. The cubic root of 128493378 is about 504.6151078285.

The spelling of 128493378 in words is "one hundred twenty-eight million, four hundred ninety-three thousand, three hundred seventy-eight".