128285440 has 144 divisors (see below), whose sum is σ = 328478976. Its totient is φ = 47923200.

The previous prime is 128285431. The next prime is 128285447. The reversal of 128285440 is 44582821.

It is a super-3 number, since 3×128285440³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128285396 and 128285405.

It is not an unprimeable number, because it can be changed into a prime (128285447) 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 15 ways as a sum of consecutive naturals, for example, 2103010 + ... + 2103070.

It is an arithmetic number, because the mean of its divisors is an integer number (2281104).

Almost surely, 2^128285440 is an apocalyptic number.

128285440 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 128285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164239488).

128285440 is an abundant number, since it is smaller than the sum of its proper divisors (200193536).

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

128285440 is an equidigital number, since it uses as much as digits as its factorization.

128285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 128285440 is about 11326.3162590491. The cubic root of 128285440 is about 504.3427583630.

The spelling of 128285440 in words is "one hundred twenty-eight million, two hundred eighty-five thousand, four hundred forty".