1457288728600 has 48 divisors (see below), whose sum is σ = 3389711950800. Its totient is φ = 582654733440.

The previous prime is 1457288728559. The next prime is 1457288728619. The reversal of 1457288728600 is 68278827541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1181220 + ... + 2076019.

It is an arithmetic number, because the mean of its divisors is an integer number (70618998975).

Almost surely, 2^{1457288728600} is an apocalyptic number.

1457288728600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457288728600 is an abundant number, since it is smaller than the sum of its proper divisors (1932423222200).

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

1457288728600 is a wasteful number, since it uses less digits than its factorization.

1457288728600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259492 (or 3259483 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 58.

The spelling of 1457288728600 in words is "one trillion, four hundred fifty-seven billion, two hundred eighty-eight million, seven hundred twenty-eight thousand, six hundred".