1028396736 has 280 divisors, whose sum is σ = 3286079280. Its totient is φ = 317011968.

The previous prime is 1028396689. The next prime is 1028396737. The reversal of 1028396736 is 6376938201.

It is a junction number, because it is equal to n+sod(n) for n = 1028396691 and 1028396700.

It is not an unprimeable number, because it can be changed into a prime (1028396737) 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 39 ways as a sum of consecutive naturals, for example, 5220190 + ... + 5220386.

Almost surely, 2^1028396736 is an apocalyptic number.

1028396736 is a gapful number since it is divisible by the number (16) 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 1028396736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643039640).

1028396736 is an abundant number, since it is smaller than the sum of its proper divisors (2257682544).

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

1028396736 is a wasteful number, since it uses less digits than its factorization.

1028396736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1028396736 is about 32068.6254148818. The cubic root of 1028396736 is about 1009.3773687554.

The spelling of 1028396736 in words is "one billion, twenty-eight million, three hundred ninety-six thousand, seven hundred thirty-six".