1028772864 has 264 divisors, whose sum is σ = 3494769408. Its totient is φ = 285327360.

The previous prime is 1028772863. The next prime is 1028772881. The reversal of 1028772864 is 4682778201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028772863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386729 + ... + 2387159.

Almost surely, 2^1028772864 is an apocalyptic number.

1028772864 is a gapful number since it is divisible by the number (14) 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 1028772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747384704).

1028772864 is an abundant number, since it is smaller than the sum of its proper divisors (2465996544).

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

1028772864 is a wasteful number, since it uses less digits than its factorization.

1028772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1028772864 is about 32074.4893022477. The cubic root of 1028772864 is about 1009.5004110282.

The spelling of 1028772864 in words is "one billion, twenty-eight million, seven hundred seventy-two thousand, eight hundred sixty-four".