1028768052 has 48 divisors (see below), whose sum is σ = 2593650752. Its totient is φ = 315498240.

The previous prime is 1028768047. The next prime is 1028768057. The reversal of 1028768052 is 2508678201.

It is an interprime number because it is at equal distance from previous prime (1028768047) and next prime (1028768057).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1028768052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028768057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37152 + ... + 58632.

Almost surely, 2^1028768052 is an apocalyptic number.

1028768052 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 1028768052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296825376).

1028768052 is an abundant number, since it is smaller than the sum of its proper divisors (1564882700).

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

1028768052 is a wasteful number, since it uses less digits than its factorization.

1028768052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21808 (or 21806 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1028768052 is about 32074.4142892742. The cubic root of 1028768052 is about 1009.4988370742.

The spelling of 1028768052 in words is "one billion, twenty-eight million, seven hundred sixty-eight thousand, fifty-two".