1728057440 has 48 divisors (see below), whose sum is σ = 4085085312. Its totient is φ = 690791424.

The previous prime is 1728057407. The next prime is 1728057473. The reversal of 1728057440 is 447508271.

It is an interprime number because it is at equal distance from previous prime (1728057407) and next prime (1728057473).

It is a junction number, because it is equal to n+sod(n) for n = 1728057394 and 1728057403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416657 + ... + 420783.

It is an arithmetic number, because the mean of its divisors is an integer number (85105944).

Almost surely, 2^1728057440 is an apocalyptic number.

1728057440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728057440 is an abundant number, since it is smaller than the sum of its proper divisors (2357027872).

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

1728057440 is a wasteful number, since it uses less digits than its factorization.

1728057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 1728057440 is about 41569.9102717338. The cubic root of 1728057440 is about 1200.0132961490.

The spelling of 1728057440 in words is "one billion, seven hundred twenty-eight million, fifty-seven thousand, four hundred forty".