1332105728 has 30 divisors (see below), whose sum is σ = 2663260809. Its totient is φ = 665639936.

The previous prime is 1332105701. The next prime is 1332105757. The reversal of 1332105728 is 8275012331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1311019264 + 21086464 = 36208^2 + 4592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25808.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1332105694 and 1332105703.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 825050 + ... + 826662.

Almost surely, 2^1332105728 is an apocalyptic number.

It is an amenable number.

1332105728 is a deficient number, since it is larger than the sum of its proper divisors (1331155081).

1332105728 is an frugal number, since it uses more digits than its factorization.

1332105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1332105728 is about 36498.0236177248. The cubic root of 1332105728 is about 1100.3045239523.

Multiplying 1332105728 by its sum of digits (32), we get a square (42627383296 = 206464²).

1332105728 divided by its sum of digits (32) gives a square (41628304 = 6452²).

The spelling of 1332105728 in words is "one billion, three hundred thirty-two million, one hundred five thousand, seven hundred twenty-eight".