1828967360 has 448 divisors, whose sum is σ = 5530291200. Its totient is φ = 567705600.

The previous prime is 1828967359. The next prime is 1828967363. The reversal of 1828967360 is 637698281.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1828967299 and 1828967308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828967363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44608940 + ... + 44608980.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^1828967360 is an apocalyptic number.

1828967360 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 1828967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

1828967360 is an abundant number, since it is smaller than the sum of its proper divisors (3701323840).

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

1828967360 is a wasteful number, since it uses less digits than its factorization.

1828967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 1828967360 is about 42766.4279546469. The cubic root of 1828967360 is about 1222.9310872438.

The spelling of 1828967360 in words is "one billion, eight hundred twenty-eight million, nine hundred sixty-seven thousand, three hundred sixty".