128124288 has 128 divisors (see below), whose sum is σ = 382377600. Its totient is φ = 42232320.

The previous prime is 128124263. The next prime is 128124307. The reversal of 128124288 is 882421821.

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

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452595 + ... + 452877.

It is an arithmetic number, because the mean of its divisors is an integer number (2987325).

Almost surely, 2^128124288 is an apocalyptic number.

128124288 is a gapful number since it is divisible by the number (18) 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 128124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191188800).

128124288 is an abundant number, since it is smaller than the sum of its proper divisors (254253312).

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

128124288 is a wasteful number, since it uses less digits than its factorization.

128124288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 128124288 is about 11319.1999717295. The cubic root of 128124288 is about 504.1314849692.

The spelling of 128124288 in words is "one hundred twenty-eight million, one hundred twenty-four thousand, two hundred eighty-eight".