128124828 has 120 divisors (see below), whose sum is σ = 379930320. Its totient is φ = 37324800.

The previous prime is 128124811. The next prime is 128124833. The reversal of 128124828 is 828421821.

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 = 128124792 and 128124801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79228 + ... + 80828.

It is an arithmetic number, because the mean of its divisors is an integer number (3166086).

Almost surely, 2^128124828 is an apocalyptic number.

128124828 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 128124828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189965160).

128124828 is an abundant number, since it is smaller than the sum of its proper divisors (251805492).

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

128124828 is a wasteful number, since it uses less digits than its factorization.

128124828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1638 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 128124828 is about 11319.2238249802. The cubic root of 128124828 is about 504.1321932154.

The spelling of 128124828 in words is "one hundred twenty-eight million, one hundred twenty-four thousand, eight hundred twenty-eight".