1828201820 has 48 divisors (see below), whose sum is σ = 3959867520. Its totient is φ = 708470784.

The previous prime is 1828201757. The next prime is 1828201861. The reversal of 1828201820 is 281028281.

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, 171692 + ... + 182028.

It is an arithmetic number, because the mean of its divisors is an integer number (82497240).

Almost surely, 2^1828201820 is an apocalyptic number.

1828201820 is a gapful number since it is divisible by the number (10) 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 1828201820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979933760).

1828201820 is an abundant number, since it is smaller than the sum of its proper divisors (2131665700).

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

1828201820 is a wasteful number, since it uses less digits than its factorization.

1828201820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 1828201820 is about 42757.4767730744. The cubic root of 1828201820 is about 1222.7604384330.

The spelling of 1828201820 in words is "one billion, eight hundred twenty-eight million, two hundred one thousand, eight hundred twenty".