925441237728 has 216 divisors, whose sum is σ = 3144134782152. Its totient is φ = 257265372672.

The previous prime is 925441237723. The next prime is 925441237741. The reversal of 925441237728 is 827732144529.

925441237728 is a `hidden beast` number, since 9 + 2 + 544 + 1 + 2 + 3 + 77 + 28 = 666.

It is a super-2 number, since 2×925441237728² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (925441237723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 364050 + ... + 1408337.

It is an arithmetic number, because the mean of its divisors is an integer number (14556179547).

Almost surely, 2^925441237728 is an apocalyptic number.

925441237728 is a gapful number since it is divisible by the number (98) 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 925441237728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572067391076).

925441237728 is an abundant number, since it is smaller than the sum of its proper divisors (2218693544424).

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

925441237728 is a wasteful number, since it uses less digits than its factorization.

925441237728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772454 (or 1772436 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 925441237728 in words is "nine hundred twenty-five billion, four hundred forty-one million, two hundred thirty-seven thousand, seven hundred twenty-eight".