1728246240 has 384 divisors, whose sum is σ = 7024389120. Its totient is φ = 388675584.

The previous prime is 1728246211. The next prime is 1728246263. The reversal of 1728246240 is 426428271.

1728246240 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 24 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1728246195 and 1728246204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025654 + ... + 2026506.

It is an arithmetic number, because the mean of its divisors is an integer number (18292680).

Almost surely, 2^1728246240 is an apocalyptic number.

1728246240 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 1728246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512194560).

1728246240 is an abundant number, since it is smaller than the sum of its proper divisors (5296142880).

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

1728246240 is a wasteful number, since it uses less digits than its factorization.

1728246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1728246240 is about 41572.1810830271. The cubic root of 1728246240 is about 1200.0569972927.

The spelling of 1728246240 in words is "one billion, seven hundred twenty-eight million, two hundred forty-six thousand, two hundred forty".