1457728 has 14 divisors (see below), whose sum is σ = 2892806. Its totient is φ = 728832.

The previous prime is 1457683. The next prime is 1457741. The reversal of 1457728 is 8277541.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1420864 + 36864 = 1192^2 + 192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1457693 and 1457702.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11325 + ... + 11452.

It is an arithmetic number, because the mean of its divisors is an integer number (206629).

2^1457728 is an apocalyptic number.

It is an amenable number.

1457728 is a deficient number, since it is larger than the sum of its proper divisors (1435078).

1457728 is an equidigital number, since it uses as much as digits as its factorization.

1457728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22789 (or 22779 counting only the distinct ones).

The product of its digits is 15680, while the sum is 34.

The square root of 1457728 is about 1207.3640710241. The cubic root of 1457728 is about 113.3858426420.

It can be divided in two parts, 14577 and 28, that multiplied together give a triangular number (408156 = T₉₀₃).

The spelling of 1457728 in words is "one million, four hundred fifty-seven thousand, seven hundred twenty-eight".