128270480 has 80 divisors (see below), whose sum is σ = 332322480. Its totient is φ = 45717504.

The previous prime is 128270479. The next prime is 128270489. The reversal of 128270480 is 84072821.

It can be written as a sum of positive squares in 8 ways, for example, as 27709696 + 100560784 = 5264^2 + 10028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128270489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28034 + ... + 32286.

It is an arithmetic number, because the mean of its divisors is an integer number (4154031).

Almost surely, 2^128270480 is an apocalyptic number.

128270480 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 128270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166161240).

128270480 is an abundant number, since it is smaller than the sum of its proper divisors (204052000).

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

128270480 is a wasteful number, since it uses less digits than its factorization.

128270480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 128270480 is about 11325.6558309000. The cubic root of 128270480 is about 504.3231529659.

The spelling of 128270480 in words is "one hundred twenty-eight million, two hundred seventy thousand, four hundred eighty".