128244864 has 128 divisors (see below), whose sum is σ = 376649280. Its totient is φ = 38338560.

The previous prime is 128244863. The next prime is 128244871. The reversal of 128244864 is 468442821.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128244863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409572 + ... + 409884.

Almost surely, 2^128244864 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 128244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188324640).

128244864 is an abundant number, since it is smaller than the sum of its proper divisors (248404416).

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

128244864 is a wasteful number, since it uses less digits than its factorization.

128244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 128244864 is about 11324.5248906963. The cubic root of 128244864 is about 504.2895791149.

The spelling of 128244864 in words is "one hundred twenty-eight million, two hundred forty-four thousand, eight hundred sixty-four".