1009369728 has 128 divisors (see below), whose sum is σ = 3017568000. Its totient is φ = 332107776.

The previous prime is 1009369727. The next prime is 1009369729. The reversal of 1009369728 is 8279639001.

It is an interprime number because it is at equal distance from previous prime (1009369727) and next prime (1009369729).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1009369727) 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 15 ways as a sum of consecutive naturals, for example, 271176 + ... + 274872.

It is an arithmetic number, because the mean of its divisors is an integer number (23574750).

Almost surely, 2^1009369728 is an apocalyptic number.

1009369728 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 1009369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508784000).

1009369728 is an abundant number, since it is smaller than the sum of its proper divisors (2008198272).

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

1009369728 is an equidigital number, since it uses as much as digits as its factorization.

1009369728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1009369728 is about 31770.5795981125. The cubic root of 1009369728 is about 1003.1135384838.

The spelling of 1009369728 in words is "one billion, nine million, three hundred sixty-nine thousand, seven hundred twenty-eight".