1200745728 has 576 divisors, whose sum is σ = 4615188480. Its totient is φ = 299261952.

The previous prime is 1200745703. The next prime is 1200745729. The reversal of 1200745728 is 8275470021.

1200745728 is a `hidden beast` number, since 12 + 0 + 0 + 74 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1200745692 and 1200745701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200745729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14466775 + ... + 14466857.

It is an arithmetic number, because the mean of its divisors is an integer number (8012480).

Almost surely, 2^1200745728 is an apocalyptic number.

1200745728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307594240).

1200745728 is an abundant number, since it is smaller than the sum of its proper divisors (3414442752).

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

1200745728 is a wasteful number, since it uses less digits than its factorization.

1200745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 1200745728 is about 34651.7781361938. The cubic root of 1200745728 is about 1062.8786497804.

The spelling of 1200745728 in words is "one billion, two hundred million, seven hundred forty-five thousand, seven hundred twenty-eight".