1828794240 has 512 divisors, whose sum is σ = 7978521600. Its totient is φ = 385523712.

The previous prime is 1828794223. The next prime is 1828794269. The reversal of 1828794240 is 424978281.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1571899 + ... + 1573061.

It is an arithmetic number, because the mean of its divisors is an integer number (15583050).

Almost surely, 2^1828794240 is an apocalyptic number.

1828794240 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 1828794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989260800).

1828794240 is an abundant number, since it is smaller than the sum of its proper divisors (6149727360).

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

1828794240 is a wasteful number, since it uses less digits than its factorization.

1828794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1828794240 is about 42764.4038892161. The cubic root of 1828794240 is about 1222.8925007141.

The spelling of 1828794240 in words is "one billion, eight hundred twenty-eight million, seven hundred ninety-four thousand, two hundred forty".