128340828 has 288 divisors, whose sum is σ = 443304960. Its totient is φ = 31363200.

The previous prime is 128340811. The next prime is 128340833. The reversal of 128340828 is 828043821.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 128340792 and 128340801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103918 + ... + 2103978.

Almost surely, 2^128340828 is an apocalyptic number.

128340828 is a gapful number since it is divisible by the number (18) 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 128340828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

128340828 is an abundant number, since it is smaller than the sum of its proper divisors (314964132).

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

128340828 is a wasteful number, since it uses less digits than its factorization.

128340828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 128340828 is about 11328.7610973133. The cubic root of 128340828 is about 504.4153322455.

The spelling of 128340828 in words is "one hundred twenty-eight million, three hundred forty thousand, eight hundred twenty-eight".