128792640 has 224 divisors, whose sum is σ = 450616320. Its totient is φ = 31021056.

The previous prime is 128792563. The next prime is 128792669. The reversal of 128792640 is 46297821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419367 + ... + 419673.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^128792640 is an apocalyptic number.

128792640 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 128792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

128792640 is an abundant number, since it is smaller than the sum of its proper divisors (321823680).

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

128792640 is a wasteful number, since it uses less digits than its factorization.

128792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 128792640 is about 11348.6845052632. The cubic root of 128792640 is about 505.0065548278.

The spelling of 128792640 in words is "one hundred twenty-eight million, seven hundred ninety-two thousand, six hundred forty".