1720828800 has 288 divisors, whose sum is σ = 6370607880. Its totient is φ = 458680320.

The previous prime is 1720828799. The next prime is 1720828807. The reversal of 1720828800 is 88280271.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1720828800² = 5922503517818880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720828807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776494 + ... + 778706.

Almost surely, 2^1720828800 is an apocalyptic number.

1720828800 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 1720828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185303940).

1720828800 is an abundant number, since it is smaller than the sum of its proper divisors (4649779080).

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

1720828800 is an equidigital number, since it uses as much as digits as its factorization.

1720828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1720828800 is about 41482.8735745247. The cubic root of 1720828800 is about 1198.3376983577.

The spelling of 1720828800 in words is "one billion, seven hundred twenty million, eight hundred twenty-eight thousand, eight hundred".