1045009728 has 224 divisors, whose sum is σ = 3696614400. Its totient is φ = 282797568.

The previous prime is 1045009687. The next prime is 1045009729. The reversal of 1045009728 is 8279005401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1045009728² = 2184090663229267968, which contains 22 as substring.

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 = 1045009692 and 1045009701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045009729) 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 31 ways as a sum of consecutive naturals, for example, 227551 + ... + 232097.

Almost surely, 2^1045009728 is an apocalyptic number.

1045009728 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 1045009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848307200).

1045009728 is an abundant number, since it is smaller than the sum of its proper divisors (2651604672).

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

1045009728 is a wasteful number, since it uses less digits than its factorization.

1045009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1045009728 is about 32326.6102151153. The cubic root of 1045009728 is about 1014.7836105154.

The spelling of 1045009728 in words is "one billion, forty-five million, nine thousand, seven hundred twenty-eight".