128265984 has 288 divisors, whose sum is σ = 474862080. Its totient is φ = 33177600.

The previous prime is 128265983. The next prime is 128265997. The reversal of 128265984 is 489562821.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128265983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532104 + ... + 532344.

Almost surely, 2^128265984 is an apocalyptic number.

128265984 is a gapful number since it is divisible by the number (14) 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 128265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237431040).

128265984 is an abundant number, since it is smaller than the sum of its proper divisors (346596096).

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

128265984 is a wasteful number, since it uses less digits than its factorization.

128265984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 128265984 is about 11325.4573417589. The cubic root of 128265984 is about 504.3172605647.

The spelling of 128265984 in words is "one hundred twenty-eight million, two hundred sixty-five thousand, nine hundred eighty-four".