1827429252 has 48 divisors (see below), whose sum is σ = 4671680832. Its totient is φ = 551380480.

The previous prime is 1827429239. The next prime is 1827429283. The reversal of 1827429252 is 2529247281.

1827429252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 1048 + ... + 60464.

It is an arithmetic number, because the mean of its divisors is an integer number (97326684).

Almost surely, 2^1827429252 is an apocalyptic number.

1827429252 is a gapful number since it is divisible by the number (12) 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 1827429252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335840416).

1827429252 is an abundant number, since it is smaller than the sum of its proper divisors (2844251580).

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

1827429252 is a wasteful number, since it uses less digits than its factorization.

1827429252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59668 (or 59666 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 1827429252 is about 42748.4415154518. The cubic root of 1827429252 is about 1222.5881746865.

The spelling of 1827429252 in words is "one billion, eight hundred twenty-seven million, four hundred twenty-nine thousand, two hundred fifty-two".