1828974168 has 320 divisors, whose sum is σ = 6255912960. Its totient is φ = 487897344.

The previous prime is 1828974157. The next prime is 1828974197. The reversal of 1828974168 is 8614798281.

1828974168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1828974168² = 6690293014422584448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4903230 + ... + 4903602.

It is an arithmetic number, because the mean of its divisors is an integer number (19549728).

Almost surely, 2^1828974168 is an apocalyptic number.

1828974168 is a gapful number since it is divisible by the number (18) 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 1828974168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127956480).

1828974168 is an abundant number, since it is smaller than the sum of its proper divisors (4426938792).

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

1828974168 is a wasteful number, since it uses less digits than its factorization.

1828974168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 1828974168 is about 42766.5075497170. The cubic root of 1828974168 is about 1222.9326046218.

The spelling of 1828974168 in words is "one billion, eight hundred twenty-eight million, nine hundred seventy-four thousand, one hundred sixty-eight".