1828417600 has 63 divisors (see below), whose sum is σ = 4503262647. Its totient is φ = 730682880.

The previous prime is 1828417589. The next prime is 1828417639. The reversal of 1828417600 is 67148281.

The square root of 1828417600 is 42760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 1773420544 = 7416^2 + 42112^2 .

It is a super-2 number, since 2×1828417600² = 6686221839979520000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1828417600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1709866 + ... + 1710934.

Almost surely, 2^1828417600 is an apocalyptic number.

1828417600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1828417600 is the 42760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828417600

1828417600 is an abundant number, since it is smaller than the sum of its proper divisors (2674845047).

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

1828417600 is an frugal number, since it uses more digits than its factorization.

1828417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The cubic root of 1828417600 is about 1222.8085434187.

The spelling of 1828417600 in words is "one billion, eight hundred twenty-eight million, four hundred seventeen thousand, six hundred".