1064028792 has 128 divisors (see below), whose sum is σ = 2826835200. Its totient is φ = 333268992.

The previous prime is 1064028773. The next prime is 1064028799. The reversal of 1064028792 is 2978204601.

It is a super-2 number, since 2×1064028792² = 2264314540409958528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064028792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064028799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6527703 + ... + 6527865.

It is an arithmetic number, because the mean of its divisors is an integer number (22084650).

Almost surely, 2^1064028792 is an apocalyptic number.

1064028792 is a gapful number since it is divisible by the number (12) 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 1064028792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413417600).

1064028792 is an abundant number, since it is smaller than the sum of its proper divisors (1762806408).

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

1064028792 is a wasteful number, since it uses less digits than its factorization.

1064028792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1064028792 is about 32619.4541953111. The cubic root of 1064028792 is about 1020.9029528300.

The spelling of 1064028792 in words is "one billion, sixty-four million, twenty-eight thousand, seven hundred ninety-two".