1828066720 has 24 divisors (see below), whose sum is σ = 4318808004. Its totient is φ = 731226624.

The previous prime is 1828066717. The next prime is 1828066777. The reversal of 1828066720 is 276608281.

It can be written as a sum of positive squares in 2 ways, for example, as 1787260176 + 40806544 = 42276^2 + 6388^2 .

It is a Smith number, since the sum of its digits (40) 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5712549 + ... + 5712868.

Almost surely, 2^1828066720 is an apocalyptic number.

1828066720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828066720 is an abundant number, since it is smaller than the sum of its proper divisors (2490741284).

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

1828066720 is a wasteful number, since it uses less digits than its factorization.

1828066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425432 (or 11425424 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1828066720 is about 42755.8969032343. The cubic root of 1828066720 is about 1222.7303179429.

The spelling of 1828066720 in words is "one billion, eight hundred twenty-eight million, sixty-six thousand, seven hundred twenty".