1728400896 has 80 divisors (see below), whose sum is σ = 5116227600. Its totient is φ = 576129024.

The previous prime is 1728400859. The next prime is 1728400907. The reversal of 1728400896 is 6980048271.

It is a plaindrome in base 14.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 48691 + ... + 76338.

It is an arithmetic number, because the mean of its divisors is an integer number (63952845).

Almost surely, 2^1728400896 is an apocalyptic number.

1728400896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1728400896 is an abundant number, since it is smaller than the sum of its proper divisors (3387826704).

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

1728400896 is an equidigital number, since it uses as much as digits as its factorization.

1728400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125056 (or 125034 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1728400896 is about 41574.0411314561. The cubic root of 1728400896 is about 1200.0927928244.

The spelling of 1728400896 in words is "one billion, seven hundred twenty-eight million, four hundred thousand, eight hundred ninety-six".