1828801296 has 120 divisors (see below), whose sum is σ = 5862134720. Its totient is φ = 521365248.

The previous prime is 1828801283. The next prime is 1828801343. The reversal of 1828801296 is 6921088281.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 525450 + ... + 528918.

Almost surely, 2^1828801296 is an apocalyptic number.

1828801296 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 1828801296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931067360).

1828801296 is an abundant number, since it is smaller than the sum of its proper divisors (4033333424).

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

1828801296 is a wasteful number, since it uses less digits than its factorization.

1828801296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1828801296 is about 42764.4863876558. The cubic root of 1828801296 is about 1222.8940734659.

The spelling of 1828801296 in words is "one billion, eight hundred twenty-eight million, eight hundred one thousand, two hundred ninety-six".