1827868952 has 64 divisors (see below), whose sum is σ = 4304328000. Its totient is φ = 723098880.

The previous prime is 1827868919. The next prime is 1827868957. The reversal of 1827868952 is 2598687281.

It is a happy number.

It is a super-2 number, since 2×1827868952² = 6682209811371156608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827868957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10052 + ... + 61292.

It is an arithmetic number, because the mean of its divisors is an integer number (67255125).

Almost surely, 2^1827868952 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 1827868952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152164000).

1827868952 is an abundant number, since it is smaller than the sum of its proper divisors (2476459048).

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

1827868952 is a wasteful number, since it uses less digits than its factorization.

1827868952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51281 (or 51263 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 56.

The square root of 1827868952 is about 42753.5840836765. The cubic root of 1827868952 is about 1222.6862229713.

The spelling of 1827868952 in words is "one billion, eight hundred twenty-seven million, eight hundred sixty-eight thousand, nine hundred fifty-two".