128863296 has 168 divisors, whose sum is σ = 393704064. Its totient is φ = 40212480.

The previous prime is 128863277. The next prime is 128863297. The reversal of 128863296 is 692368821.

128863296 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 632 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (128863297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940540 + ... + 940676.

Almost surely, 2^128863296 is an apocalyptic number.

128863296 is a gapful number since it is divisible by the number (16) 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 128863296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196852032).

128863296 is an abundant number, since it is smaller than the sum of its proper divisors (264840768).

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

128863296 is a wasteful number, since it uses less digits than its factorization.

128863296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 128863296 is about 11351.7970383548. The cubic root of 128863296 is about 505.0988872781.

The spelling of 128863296 in words is "one hundred twenty-eight million, eight hundred sixty-three thousand, two hundred ninety-six".