1728460800 has 648 divisors, whose sum is σ = 7023612960. Its totient is φ = 405504000.

The previous prime is 1728460777. The next prime is 1728460823. The reversal of 1728460800 is 80648271.

It is an interprime number because it is at equal distance from previous prime (1728460777) and next prime (1728460823).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55756785 + ... + 55756815.

Almost surely, 2^1728460800 is an apocalyptic number.

1728460800 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 1728460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511806480).

1728460800 is an abundant number, since it is smaller than the sum of its proper divisors (5295152160).

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

1728460800 is a wasteful number, since it uses less digits than its factorization.

1728460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1728460800 is about 41574.7615747824. The cubic root of 1728460800 is about 1200.1066571866.

The spelling of 1728460800 in words is "one billion, seven hundred twenty-eight million, four hundred sixty thousand, eight hundred".