10028820986352 has 720 divisors, whose sum is σ = 34930621440000. Its totient is φ = 2668787896320.

The previous prime is 10028820986299. The next prime is 10028820986377. The reversal of 10028820986352 is 25368902882001.

It is a happy number.

10028820986352 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 8 + 209 + 86 + 352 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7841141649 + ... + 7841142927.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752000).

Almost surely, 2^{10028820986352} is an apocalyptic number.

10028820986352 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 10028820986352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465310720000).

10028820986352 is an abundant number, since it is smaller than the sum of its proper divisors (24901800453648).

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

10028820986352 is a wasteful number, since it uses less digits than its factorization.

10028820986352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10028820986352 in words is "ten trillion, twenty-eight billion, eight hundred twenty million, nine hundred eighty-six thousand, three hundred fifty-two".