128397312 has 182 divisors, whose sum is σ = 393921572. Its totient is φ = 41803776.

The previous prime is 128397233. The next prime is 128397331. The reversal of 128397312 is 213793821.

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985963 + ... + 2986005.

Almost surely, 2^128397312 is an apocalyptic number.

128397312 is a gapful number since it is divisible by the number (12) 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 128397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196960786).

128397312 is an abundant number, since it is smaller than the sum of its proper divisors (265524260).

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

128397312 is an frugal number, since it uses more digits than its factorization.

128397312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 128397312 is about 11331.2537699939. The cubic root of 128397312 is about 504.4893206957.

The spelling of 128397312 in words is "one hundred twenty-eight million, three hundred ninety-seven thousand, three hundred twelve".