1728871520 has 48 divisors (see below), whose sum is σ = 4087072080. Its totient is φ = 691106304.

The previous prime is 1728871517. The next prime is 1728871523. The reversal of 1728871520 is 251788271.

It is an interprime number because it is at equal distance from previous prime (1728871517) and next prime (1728871523).

It is a super-2 number, since 2×1728871520² = 5977993465334220800, which contains 22 as substring.

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 (1728871523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379979 + ... + 384501.

It is an arithmetic number, because the mean of its divisors is an integer number (85147335).

Almost surely, 2^1728871520 is an apocalyptic number.

1728871520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728871520 is an abundant number, since it is smaller than the sum of its proper divisors (2358200560).

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

1728871520 is a wasteful number, since it uses less digits than its factorization.

1728871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6927 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 41.

The square root of 1728871520 is about 41579.7008166245. The cubic root of 1728871520 is about 1200.2017068341.

The spelling of 1728871520 in words is "one billion, seven hundred twenty-eight million, eight hundred seventy-one thousand, five hundred twenty".