1728230400 has 396 divisors, whose sum is σ = 6675422572. Its totient is φ = 424673280.

The previous prime is 1728230381. The next prime is 1728230411. The reversal of 1728230400 is 40328271.

1728230400 is a `hidden beast` number, since 1 + 7 + 28 + 230 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 331776 + 1727898624 = 576^2 + 41568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2994912 + ... + 2995488.

Almost surely, 2^1728230400 is an apocalyptic number.

1728230400 is a gapful number since it is divisible by the number (10) 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 1728230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337711286).

1728230400 is an abundant number, since it is smaller than the sum of its proper divisors (4947192172).

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

1728230400 is a wasteful number, since it uses less digits than its factorization.

1728230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1728230400 is about 41571.9905705753. The cubic root of 1728230400 is about 1200.0533309631.

Adding to 1728230400 its reverse (40328271), we get a palindrome (1768558671).

The spelling of 1728230400 in words is "one billion, seven hundred twenty-eight million, two hundred thirty thousand, four hundred".