128458440 has 192 divisors, whose sum is σ = 471139200. Its totient is φ = 31109760.

The previous prime is 128458439. The next prime is 128458471. The reversal of 128458440 is 44854821.

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

It is a junction number, because it is equal to n+sod(n) for n = 128458395 and 128458404.

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 47 ways as a sum of consecutive naturals, for example, 130189 + ... + 131171.

It is an arithmetic number, because the mean of its divisors is an integer number (2453850).

Almost surely, 2^128458440 is an apocalyptic number.

128458440 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 128458440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235569600).

128458440 is an abundant number, since it is smaller than the sum of its proper divisors (342680760).

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

128458440 is a wasteful number, since it uses less digits than its factorization.

128458440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 128458440 is about 11333.9507674950. The cubic root of 128458440 is about 504.5693678818.

The spelling of 128458440 in words is "one hundred twenty-eight million, four hundred fifty-eight thousand, four hundred forty".