1825768224 has 216 divisors, whose sum is σ = 6133025808. Its totient is φ = 513596160.

The previous prime is 1825768201. The next prime is 1825768237. The reversal of 1825768224 is 4228675281.

It is a super-4 number, since 4×1825768224⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1825768224.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 944539 + ... + 946469.

It is an arithmetic number, because the mean of its divisors is an integer number (28393638).

Almost surely, 2^1825768224 is an apocalyptic number.

1825768224 is a gapful number since it is divisible by the number (14) 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 1825768224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066512904).

1825768224 is an abundant number, since it is smaller than the sum of its proper divisors (4307257584).

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

1825768224 is a wasteful number, since it uses less digits than its factorization.

1825768224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2010 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 1825768224 is about 42729.0091623946. The cubic root of 1825768224 is about 1222.2176416406.

The spelling of 1825768224 in words is "one billion, eight hundred twenty-five million, seven hundred sixty-eight thousand, two hundred twenty-four".