128334816 has 144 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 39585024.

The previous prime is 128334809. The next prime is 128334839. The reversal of 128334816 is 618433821.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256935 + ... + 257433.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2^128334816 is an apocalyptic number.

128334816 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 128334816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

128334816 is an abundant number, since it is smaller than the sum of its proper divisors (264785184).

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

128334816 is a wasteful number, since it uses less digits than its factorization.

128334816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 128334816 is about 11328.4957518640. The cubic root of 128334816 is about 504.4074558423.

The spelling of 128334816 in words is "one hundred twenty-eight million, three hundred thirty-four thousand, eight hundred sixteen".