128288520 has 96 divisors (see below), whose sum is σ = 418504320. Its totient is φ = 34081920.

The previous prime is 128288519. The next prime is 128288527. The reversal of 128288520 is 25882821.

It is a happy number.

128288520 is a `hidden beast` number, since 128 + 2 + 8 + 8 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (128288527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131635 + ... + 132605.

It is an arithmetic number, because the mean of its divisors is an integer number (4359420).

Almost surely, 2^128288520 is an apocalyptic number.

128288520 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 128288520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209252160).

128288520 is an abundant number, since it is smaller than the sum of its proper divisors (290215800).

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

128288520 is a wasteful number, since it uses less digits than its factorization.

128288520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 128288520 is about 11326.4522247701. The cubic root of 128288520 is about 504.3467945790.

The spelling of 128288520 in words is "one hundred twenty-eight million, two hundred eighty-eight thousand, five hundred twenty".