1825057728 has 168 divisors, whose sum is σ = 5879092128. Its totient is φ = 537090048.

The previous prime is 1825057709. The next prime is 1825057747. The reversal of 1825057728 is 8277505281.

1825057728 is a `hidden beast` number, since 1 + 8 + 2 + 50 + 577 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1825057709) and next prime (1825057747).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166926 + ... + 177522.

It is an arithmetic number, because the mean of its divisors is an integer number (34994596).

Almost surely, 2^1825057728 is an apocalyptic number.

1825057728 is a gapful number since it is divisible by the number (18) 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 1825057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939546064).

1825057728 is an abundant number, since it is smaller than the sum of its proper divisors (4054034400).

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

1825057728 is a wasteful number, since it uses less digits than its factorization.

1825057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10651 (or 10638 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 1825057728 is about 42720.6943763792. The cubic root of 1825057728 is about 1222.0590794526.

The spelling of 1825057728 in words is "one billion, eight hundred twenty-five million, fifty-seven thousand, seven hundred twenty-eight".