1720128900 has 216 divisors, whose sum is σ = 6005657280. Its totient is φ = 372314880.

The previous prime is 1720128887. The next prime is 1720128913. The reversal of 1720128900 is 98210271.

It is an interprime number because it is at equal distance from previous prime (1720128887) and next prime (1720128913).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 756966 + ... + 759234.

Almost surely, 2^1720128900 is an apocalyptic number.

1720128900 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 1720128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002828640).

1720128900 is an abundant number, since it is smaller than the sum of its proper divisors (4285528380).

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

1720128900 is a wasteful number, since it uses less digits than its factorization.

1720128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1720128900 is about 41474.4367050355. The cubic root of 1720128900 is about 1198.1752126436.

The spelling of 1720128900 in words is "one billion, seven hundred twenty million, one hundred twenty-eight thousand, nine hundred".