1028252816640 has 648 divisors, whose sum is σ = 4148727546600. Its totient is φ = 234447962112.

The previous prime is 1028252816609. The next prime is 1028252816677. The reversal of 1028252816640 is 466182528201.

1028252816640 is a `hidden beast` number, since 1 + 0 + 2 + 82 + 528 + 1 + 6 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144412160256 + 883840656384 = 380016^2 + 940128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 253449492 + ... + 253453548.

It is an arithmetic number, because the mean of its divisors is an integer number (6402357325).

Almost surely, 2^{1028252816640} is an apocalyptic number.

1028252816640 is a gapful number since it is divisible by the number (10) 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 1028252816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074363773300).

1028252816640 is an abundant number, since it is smaller than the sum of its proper divisors (3120474729960).

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

1028252816640 is a wasteful number, since it uses less digits than its factorization.

1028252816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1028252816640 in words is "one trillion, twenty-eight billion, two hundred fifty-two million, eight hundred sixteen thousand, six hundred forty".