1205056728 has 48 divisors (see below), whose sum is σ = 3265618200. Its totient is φ = 401448960.

The previous prime is 1205056711. The next prime is 1205056763. The reversal of 1205056728 is 8276505021.

It is a happy number.

1205056728 is a `hidden beast` number, since 1 + 20 + 50 + 567 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1205056692 and 1205056701.

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, 153048 + ... + 160728.

Almost surely, 2^1205056728 is an apocalyptic number.

1205056728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1205056728 is an abundant number, since it is smaller than the sum of its proper divisors (2060561472).

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

1205056728 is a wasteful number, since it uses less digits than its factorization.

1205056728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1205056728 is about 34713.9270034377. The cubic root of 1205056728 is about 1064.1491372347.

The spelling of 1205056728 in words is "one billion, two hundred five million, fifty-six thousand, seven hundred twenty-eight".