128838864 has 120 divisors (see below), whose sum is σ = 418237120. Its totient is φ = 33454080.

The previous prime is 128838823. The next prime is 128838881. The reversal of 128838864 is 468838821.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39072 + ... + 42240.

Almost surely, 2^128838864 is an apocalyptic number.

128838864 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 128838864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209118560).

128838864 is an abundant number, since it is smaller than the sum of its proper divisors (289398256).

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

128838864 is a wasteful number, since it uses less digits than its factorization.

128838864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3192 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 128838864 is about 11350.7208581658. The cubic root of 128838864 is about 505.0669636392.

The spelling of 128838864 in words is "one hundred twenty-eight million, eight hundred thirty-eight thousand, eight hundred sixty-four".