1828654164 has 288 divisors, whose sum is σ = 5530291200. Its totient is φ = 520058880.

The previous prime is 1828654153. The next prime is 1828654171. The reversal of 1828654164 is 4614568281.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20546632 + ... + 20546720.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 2^1828654164 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 1828654164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

1828654164 is an abundant number, since it is smaller than the sum of its proper divisors (3701637036).

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

1828654164 is a wasteful number, since it uses less digits than its factorization.

1828654164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1828654164 is about 42762.7660938813. The cubic root of 1828654164 is about 1222.8612775435.

The spelling of 1828654164 in words is "one billion, eight hundred twenty-eight million, six hundred fifty-four thousand, one hundred sixty-four".