128700416 has 52 divisors (see below), whose sum is σ = 277281732. Its totient is φ = 59375616.

The previous prime is 128700391. The next prime is 128700431. The reversal of 128700416 is 614007821.

It can be written as a sum of positive squares in 2 ways, for example, as 79138816 + 49561600 = 8896^2 + 7040^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52040 + ... + 54456.

It is an arithmetic number, because the mean of its divisors is an integer number (5332341).

Almost surely, 2^128700416 is an apocalyptic number.

128700416 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 128700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138640866).

128700416 is an abundant number, since it is smaller than the sum of its proper divisors (148581316).

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

128700416 is an equidigital number, since it uses as much as digits as its factorization.

128700416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 128700416 is about 11344.6205754093. The cubic root of 128700416 is about 504.8859867437.

The spelling of 128700416 in words is "one hundred twenty-eight million, seven hundred thousand, four hundred sixteen".