1728587340 has 72 divisors (see below), whose sum is σ = 5424204240. Its totient is φ = 445060224.

The previous prime is 1728587309. The next prime is 1728587351. The reversal of 1728587340 is 437858271.

1728587340 is a `hidden beast` number, since 1 + 7 + 28 + 587 + 3 + 40 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160354 + ... + 170793.

It is an arithmetic number, because the mean of its divisors is an integer number (75336170).

Almost surely, 2^1728587340 is an apocalyptic number.

1728587340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728587340 is an abundant number, since it is smaller than the sum of its proper divisors (3695616900).

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

1728587340 is a wasteful number, since it uses less digits than its factorization.

1728587340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331191 (or 331186 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1728587340 is about 41576.2833836792. The cubic root of 1728587340 is about 1200.1359429324.

The spelling of 1728587340 in words is "one billion, seven hundred twenty-eight million, five hundred eighty-seven thousand, three hundred forty".