1828772416 has 56 divisors (see below), whose sum is σ = 3879982080. Its totient is φ = 852191232.

The previous prime is 1828772383. The next prime is 1828772431. The reversal of 1828772416 is 6142778281.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103905 + ... + 120223.

Almost surely, 2^1828772416 is an apocalyptic number.

1828772416 is a gapful number since it is divisible by the number (16) 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 1828772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939991040).

1828772416 is an abundant number, since it is smaller than the sum of its proper divisors (2051209664).

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

1828772416 is a wasteful number, since it uses less digits than its factorization.

1828772416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451 (or 16441 counting only the distinct ones).

The product of its digits is 301056, while the sum is 46.

The square root of 1828772416 is about 42764.1487229665. The cubic root of 1828772416 is about 1222.8876362135.

The spelling of 1828772416 in words is "one billion, eight hundred twenty-eight million, seven hundred seventy-two thousand, four hundred sixteen".