1728276480 has 768 divisors, whose sum is σ = 7547904000. Its totient is φ = 366280704.

The previous prime is 1728276463. The next prime is 1728276497. The reversal of 1728276480 is 846728271.

It is an interprime number because it is at equal distance from previous prime (1728276463) and next prime (1728276497).

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 36771817 + ... + 36771863.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^1728276480 is an apocalyptic number.

1728276480 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 1728276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

1728276480 is an abundant number, since it is smaller than the sum of its proper divisors (5819627520).

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

1728276480 is a wasteful number, since it uses less digits than its factorization.

1728276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1728276480 is about 41572.5447861927. The cubic root of 1728276480 is about 1200.0639965870.

The spelling of 1728276480 in words is "one billion, seven hundred twenty-eight million, two hundred seventy-six thousand, four hundred eighty".