1007785728 has 108 divisors (see below), whose sum is σ = 3006090360. Its totient is φ = 324323328.

The previous prime is 1007785717. The next prime is 1007785729. The reversal of 1007785728 is 8275877001.

1007785728 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 78 + 572 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007785729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59275 + ... + 74357.

It is an arithmetic number, because the mean of its divisors is an integer number (27834170).

Almost surely, 2^1007785728 is an apocalyptic number.

1007785728 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 1007785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503045180).

1007785728 is an abundant number, since it is smaller than the sum of its proper divisors (1998304632).

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

1007785728 is a wasteful number, since it uses less digits than its factorization.

1007785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15134 (or 15117 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 1007785728 is about 31745.6410866122. The cubic root of 1007785728 is about 1002.5885363646.

The spelling of 1007785728 in words is "one billion, seven million, seven hundred eighty-five thousand, seven hundred twenty-eight".