128286720 has 256 divisors, whose sum is σ = 471852000. Its totient is φ = 33030144.

The previous prime is 128286703. The next prime is 128286751. The reversal of 128286720 is 27682821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×128286720³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423666 + ... + 4423694.

Almost surely, 2^128286720 is an apocalyptic number.

128286720 is a gapful number since it is divisible by the number (10) 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 128286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235926000).

128286720 is an abundant number, since it is smaller than the sum of its proper divisors (343565280).

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

128286720 is an frugal number, since it uses more digits than its factorization.

128286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 128286720 is about 11326.3727644820. The cubic root of 128286720 is about 504.3444357593.

The spelling of 128286720 in words is "one hundred twenty-eight million, two hundred eighty-six thousand, seven hundred twenty".