1045790928 has 270 divisors, whose sum is σ = 3690842454. Its totient is φ = 275498496.

The previous prime is 1045790923. The next prime is 1045790971. The reversal of 1045790928 is 8290975401.

It can be written as a sum of positive squares in 3 ways, for example, as 37601424 + 1008189504 = 6132^2 + 31752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045790923) 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 53 ways as a sum of consecutive naturals, for example, 1192026 + ... + 1192902.

Almost surely, 2^1045790928 is an apocalyptic number.

1045790928 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 1045790928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845421227).

1045790928 is an abundant number, since it is smaller than the sum of its proper divisors (2645051526).

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

1045790928 is a wasteful number, since it uses less digits than its factorization.

1045790928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1045790928 is about 32338.6908825945. The cubic root of 1045790928 is about 1015.0364156574.

The spelling of 1045790928 in words is "one billion, forty-five million, seven hundred ninety thousand, nine hundred twenty-eight".