128412864 has 168 divisors, whose sum is σ = 399409920. Its totient is φ = 40829184.

The previous prime is 128412863. The next prime is 128412871. The reversal of 128412864 is 468214821.

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

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (128412863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357517 + ... + 357875.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^128412864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

128412864 is an abundant number, since it is smaller than the sum of its proper divisors (270997056).

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

128412864 is an equidigital number, since it uses as much as digits as its factorization.

128412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 128412864 is about 11331.9399927815. The cubic root of 128412864 is about 504.5096884667.

The spelling of 128412864 in words is "one hundred twenty-eight million, four hundred twelve thousand, eight hundred sixty-four".