128190720 has 288 divisors, whose sum is σ = 494484480. Its totient is φ = 27648000.

The previous prime is 128190719. The next prime is 128190721. The reversal of 128190720 is 27091821.

It is an interprime number because it is at equal distance from previous prime (128190719) and next prime (128190721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (128190721) 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, 510595 + ... + 510845.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^128190720 is an apocalyptic number.

128190720 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 128190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

128190720 is an abundant number, since it is smaller than the sum of its proper divisors (366293760).

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

128190720 is a wasteful number, since it uses less digits than its factorization.

128190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 128190720 is about 11322.1340744579. The cubic root of 128190720 is about 504.2186000582.

The spelling of 128190720 in words is "one hundred twenty-eight million, one hundred ninety thousand, seven hundred twenty".