128386944 has 320 divisors, whose sum is σ = 459122400. Its totient is φ = 34836480.

The previous prime is 128386931. The next prime is 128386981. The reversal of 128386944 is 449683821.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 128386944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2104674 + ... + 2104734.

Almost surely, 2^128386944 is an apocalyptic number.

128386944 is a gapful number since it is divisible by the number (14) 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 128386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561200).

128386944 is an abundant number, since it is smaller than the sum of its proper divisors (330735456).

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

128386944 is an equidigital number, since it uses as much as digits as its factorization.

128386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 128386944 is about 11330.7962650469. The cubic root of 128386944 is about 504.4757412679.

The spelling of 128386944 in words is "one hundred twenty-eight million, three hundred eighty-six thousand, nine hundred forty-four".