128829440 has 96 divisors (see below), whose sum is σ = 323144640. Its totient is φ = 49201152.

The previous prime is 128829403. The next prime is 128829473. The reversal of 128829440 is 44928821.

It is a super-2 number, since 2×128829440² = 33194049221427200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128829394 and 128829403.

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 7 ways as a sum of consecutive naturals, for example, 235247 + ... + 235793.

It is an arithmetic number, because the mean of its divisors is an integer number (3366090).

Almost surely, 2^128829440 is an apocalyptic number.

128829440 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 128829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572320).

128829440 is an abundant number, since it is smaller than the sum of its proper divisors (194315200).

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

128829440 is an equidigital number, since it uses as much as digits as its factorization.

128829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 128829440 is about 11350.3057227548. The cubic root of 128829440 is about 505.0546488583.

It can be divided in two parts, 12882 and 9440, that added together give a palindrome (22322).

The spelling of 128829440 in words is "one hundred twenty-eight million, eight hundred twenty-nine thousand, four hundred forty".