128313720 has 192 divisors, whose sum is σ = 443963520. Its totient is φ = 33312384.

The previous prime is 128313709. The next prime is 128313721. The reversal of 128313720 is 27313821.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128313721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417807 + ... + 418113.

It is an arithmetic number, because the mean of its divisors is an integer number (2312310).

Almost surely, 2^128313720 is an apocalyptic number.

128313720 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 128313720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221981760).

128313720 is an abundant number, since it is smaller than the sum of its proper divisors (315649800).

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

128313720 is a wasteful number, since it uses less digits than its factorization.

128313720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 128313720 is about 11327.5646102770. The cubic root of 128313720 is about 504.3798157388.

The spelling of 128313720 in words is "one hundred twenty-eight million, three hundred thirteen thousand, seven hundred twenty".