128904048 has 200 divisors, whose sum is σ = 459602528. Its totient is φ = 33965568.

The previous prime is 128904031. The next prime is 128904049. The reversal of 128904048 is 840409821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128904049) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 117390 + ... + 118482.

Almost surely, 2^128904048 is an apocalyptic number.

128904048 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 128904048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229801264).

128904048 is an abundant number, since it is smaller than the sum of its proper divisors (330698480).

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

128904048 is a wasteful number, since it uses less digits than its factorization.

128904048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128904048 is about 11353.5918545630. The cubic root of 128904048 is about 505.1521261782.

The spelling of 128904048 in words is "one hundred twenty-eight million, nine hundred four thousand, forty-eight".