1728148040 has 64 divisors (see below), whose sum is σ = 4101451200. Its totient is φ = 653522688.

The previous prime is 1728148031. The next prime is 1728148043. The reversal of 1728148040 is 408418271.

It is a Cunningham number, because it is equal to 41571²-1.

It is not an unprimeable number, because it can be changed into a prime (1728148043) 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, 413642 + ... + 417798.

It is an arithmetic number, because the mean of its divisors is an integer number (64085175).

Almost surely, 2^1728148040 is an apocalyptic number.

1728148040 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 1728148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050725600).

1728148040 is an abundant number, since it is smaller than the sum of its proper divisors (2373303160).

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

1728148040 is a wasteful number, since it uses less digits than its factorization.

1728148040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 1728148040 is about 41570.9999879724. Note that the first 4 decimals coincide. The cubic root of 1728148040 is about 1200.0342675400.

The spelling of 1728148040 in words is "one billion, seven hundred twenty-eight million, one hundred forty-eight thousand, forty".