128903040 has 384 divisors, whose sum is σ = 534643200. Its totient is φ = 27979776.

The previous prime is 128902997. The next prime is 128903041. The reversal of 128903040 is 40309821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 128902995 and 128903013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128903041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927291 + ... + 927429.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^128903040 is an apocalyptic number.

128903040 is a gapful number since it is divisible by the number (10) 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 128903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

128903040 is an abundant number, since it is smaller than the sum of its proper divisors (405740160).

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

128903040 is a wasteful number, since it uses less digits than its factorization.

128903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 128903040 is about 11353.5474632381. The cubic root of 128903040 is about 505.1508094503.

The spelling of 128903040 in words is "one hundred twenty-eight million, nine hundred three thousand, forty".