1728454640 has 80 divisors (see below), whose sum is σ = 4429404000. Its totient is φ = 622018560.

The previous prime is 1728454627. The next prime is 1728454649. The reversal of 1728454640 is 464548271.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728454649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75236 + ... + 95484.

It is an arithmetic number, because the mean of its divisors is an integer number (55367550).

Almost surely, 2^1728454640 is an apocalyptic number.

1728454640 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 1728454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214702000).

1728454640 is an abundant number, since it is smaller than the sum of its proper divisors (2700949360).

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

1728454640 is a wasteful number, since it uses less digits than its factorization.

1728454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20370 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 1728454640 is about 41574.6874913089. The cubic root of 1728454640 is about 1200.1052315124.

The spelling of 1728454640 in words is "one billion, seven hundred twenty-eight million, four hundred fifty-four thousand, six hundred forty".