128932965 has 120 divisors (see below), whose sum is σ = 275604120. Its totient is φ = 57480192.

The previous prime is 128932957. The next prime is 128933023. The reversal of 128932965 is 569239821.

128932965 = T₂₈ + T₂₉ + ... + T₉₁₇.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 124344801 = 2142^2 + 11151^2 .

It is not a de Polignac number, because 128932965 - 2³ = 128932957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 128932965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1448641 + ... + 1448729.

It is an arithmetic number, because the mean of its divisors is an integer number (2296701).

Almost surely, 2^128932965 is an apocalyptic number.

128932965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128932965 is an abundant number, since it is smaller than the sum of its proper divisors (146671155).

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

128932965 is an equidigital number, since it uses as much as digits as its factorization.

128932965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 128932965 is about 11354.8652567963. The cubic root of 128932965 is about 505.1898968872.

The spelling of 128932965 in words is "one hundred twenty-eight million, nine hundred thirty-two thousand, nine hundred sixty-five".