128327299984 has 75 divisors (see below), whose sum is σ = 272514360513. Its totient is φ = 58514394432.

The previous prime is 128327299981. The next prime is 128327300009. The reversal of 128327299984 is 489992723821.

The square root of 128327299984 is 358228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18983328400 + 109343971584 = 137780^2 + 330672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128327299981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1546112007 + ... + 1546112089.

Almost surely, 2^128327299984 is an apocalyptic number.

128327299984 is the 358228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128327299984

128327299984 is an abundant number, since it is smaller than the sum of its proper divisors (144187060529).

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

128327299984 is an frugal number, since it uses more digits than its factorization.

128327299984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 98 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 64.

Multiplying 128327299984 by its sum of digits (64), we get a square (8212947198976 = 2865824²).

The spelling of 128327299984 in words is "one hundred twenty-eight billion, three hundred twenty-seven million, two hundred ninety-nine thousand, nine hundred eighty-four".