235728025344 has 864 divisors, whose sum is σ = 889860142080. Its totient is φ = 58381959168.

The previous prime is 235728025339. The next prime is 235728025369. The reversal of 235728025344 is 443520827532.

235728025344 is a `hidden beast` number, since 2 + 3 + 5 + 7 + 280 + 25 + 344 = 666.

It is a super-3 number, since 3×235728025344³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 235728025344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192745117 + ... + 192746339.

It is an arithmetic number, because the mean of its divisors is an integer number (1029930720).

Almost surely, 2^235728025344 is an apocalyptic number.

235728025344 is a gapful number since it is divisible by the number (24) 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 235728025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444930071040).

235728025344 is an abundant number, since it is smaller than the sum of its proper divisors (654132116736).

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

235728025344 is a wasteful number, since it uses less digits than its factorization.

235728025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 235728025344 in words is "two hundred thirty-five billion, seven hundred twenty-eight million, twenty-five thousand, three hundred forty-four".