128415 has 16 divisors (see below), whose sum is σ = 235008. Its totient is φ = 58656.

The previous prime is 128413. The next prime is 128431. The reversal of 128415 is 514821.

It is not a de Polignac number, because 128415 - 2¹ = 128413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 128391 and 128400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (14688).

2¹²⁸⁴¹⁵ is an apocalyptic number.

128415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128415 is a deficient number, since it is larger than the sum of its proper divisors (106593).

128415 is a wasteful number, since it uses less digits than its factorization.

128415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238.

The product of its digits is 320, while the sum is 21.

The square root of 128415 is about 358.3503871911. The cubic root of 128415 is about 50.4512485764.

The spelling of 128415 in words is "one hundred twenty-eight thousand, four hundred fifteen".