1040205728 has 48 divisors (see below), whose sum is σ = 2140810560. Its totient is φ = 496590336.

The previous prime is 1040205721. The next prime is 1040205757. The reversal of 1040205728 is 8275020401.

It is a self number, because there is not a number n which added to its sum of digits gives 1040205728.

It is not an unprimeable number, because it can be changed into a prime (1040205721) 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 7 ways as a sum of consecutive naturals, for example, 594551 + ... + 596297.

It is an arithmetic number, because the mean of its divisors is an integer number (44600220).

Almost surely, 2^1040205728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070405280).

1040205728 is an abundant number, since it is smaller than the sum of its proper divisors (1100604832).

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

1040205728 is a wasteful number, since it uses less digits than its factorization.

1040205728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 1040205728 is about 32252.2205127027. The cubic root of 1040205728 is about 1013.2262055879.

The spelling of 1040205728 in words is "one billion, forty million, two hundred five thousand, seven hundred twenty-eight".