1827523968 has 128 divisors (see below), whose sum is σ = 5130355200. Its totient is φ = 574801920.

The previous prime is 1827523927. The next prime is 1827524003. The reversal of 1827523968 is 8693257281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1827523968² = 6679687707228930048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1827523968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3377778 + ... + 3378318.

It is an arithmetic number, because the mean of its divisors is an integer number (40080900).

Almost surely, 2^1827523968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565177600).

1827523968 is an abundant number, since it is smaller than the sum of its proper divisors (3302831232).

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

1827523968 is a wasteful number, since it uses less digits than its factorization.

1827523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1827523968 is about 42749.5493309579. The cubic root of 1827523968 is about 1222.6092966462.

The spelling of 1827523968 in words is "one billion, eight hundred twenty-seven million, five hundred twenty-three thousand, nine hundred sixty-eight".