128189376 has 84 divisors (see below), whose sum is σ = 419935152. Its totient is φ = 36624384.

The previous prime is 128189363. The next prime is 128189381. The reversal of 128189376 is 673981821.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×128189376² = 32865032238538752, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 11865 + ... + 19928.

It is an arithmetic number, because the mean of its divisors is an integer number (4999228).

Almost surely, 2^128189376 is an apocalyptic number.

128189376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128189376 is an abundant number, since it is smaller than the sum of its proper divisors (291745776).

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

128189376 is a wasteful number, since it uses less digits than its factorization.

128189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31818 (or 31805 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 128189376 is about 11322.0747215340. The cubic root of 128189376 is about 504.2168379125.

The spelling of 128189376 in words is "one hundred twenty-eight million, one hundred eighty-nine thousand, three hundred seventy-six".