1028052342720 has 336 divisors, whose sum is σ = 3847349338560. Its totient is φ = 250449297408.

The previous prime is 1028052342697. The next prime is 1028052342727. The reversal of 1028052342720 is 272432508201.

1028052342720 is a `hidden beast` number, since 1 + 0 + 28 + 0 + 523 + 42 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028052342727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490141 + ... + 3773219.

It is an arithmetic number, because the mean of its divisors is an integer number (11450444460).

Almost surely, 2^{1028052342720} is an apocalyptic number.

1028052342720 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 1028052342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923674669280).

1028052342720 is an abundant number, since it is smaller than the sum of its proper divisors (2819296995840).

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

1028052342720 is a wasteful number, since it uses less digits than its factorization.

1028052342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283212 (or 283199 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1028052342720 in words is "one trillion, twenty-eight billion, fifty-two million, three hundred forty-two thousand, seven hundred twenty".