128790816 has 288 divisors, whose sum is σ = 455051520. Its totient is φ = 31449600.

The previous prime is 128790811. The next prime is 128790829. The reversal of 128790816 is 618097821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (128790811) 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, 983071 + ... + 983201.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2^128790816 is an apocalyptic number.

128790816 is a gapful number since it is divisible by the number (16) 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 128790816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

128790816 is an abundant number, since it is smaller than the sum of its proper divisors (326260704).

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

128790816 is a wasteful number, since it uses less digits than its factorization.

128790816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 128790816 is about 11348.6041432416. The cubic root of 128790816 is about 505.0041707985.

The spelling of 128790816 in words is "one hundred twenty-eight million, seven hundred ninety thousand, eight hundred sixteen".