128084628 has 72 divisors (see below), whose sum is σ = 353456544. Its totient is φ = 35985600.

The previous prime is 128084611. The next prime is 128084629. The reversal of 128084628 is 826480821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128084629) 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 23 ways as a sum of consecutive naturals, for example, 34083 + ... + 37653.

Almost surely, 2^128084628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128084628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176728272).

128084628 is an abundant number, since it is smaller than the sum of its proper divisors (225371916).

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

128084628 is a wasteful number, since it uses less digits than its factorization.

128084628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 128084628 is about 11317.4479455397. The cubic root of 128084628 is about 504.0794627795.

The spelling of 128084628 in words is "one hundred twenty-eight million, eighty-four thousand, six hundred twenty-eight".