128032311 has 16 divisors (see below), whose sum is σ = 186905088. Its totient is φ = 77313600.

The previous prime is 128032271. The next prime is 128032319. The reversal of 128032311 is 113230821.

It is not a de Polignac number, because 128032311 - 2¹⁰ = 128031287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128032319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2370 + ... + 16176.

It is an arithmetic number, because the mean of its divisors is an integer number (11681568).

Almost surely, 2^128032311 is an apocalyptic number.

128032311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

128032311 is a deficient number, since it is larger than the sum of its proper divisors (58872777).

128032311 is a wasteful number, since it uses less digits than its factorization.

128032311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14102.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 128032311 is about 11315.1363668318. The cubic root of 128032311 is about 504.0108219206.

The spelling of 128032311 in words is "one hundred twenty-eight million, thirty-two thousand, three hundred eleven".