10828977846390 has 256 divisors, whose sum is σ = 32349059527680. Its totient is φ = 2555546112000.

The previous prime is 10828977846353. The next prime is 10828977846397. The reversal of 10828977846390 is 9364877982801.

10828977846390 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 8 + 9 + 7 + 78 + 463 + 90 = 666.

It is a super-2 number, since 2×10828977846390² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828977846397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17265385 + ... + 17881595.

It is an arithmetic number, because the mean of its divisors is an integer number (126363513780).

Almost surely, 2^{10828977846390} is an apocalyptic number.

10828977846390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10828977846390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174529763840).

10828977846390 is an abundant number, since it is smaller than the sum of its proper divisors (21520081681290).

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

10828977846390 is a wasteful number, since it uses less digits than its factorization.

10828977846390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616396 (or 616390 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 10828977846390 in words is "ten trillion, eight hundred twenty-eight billion, nine hundred seventy-seven million, eight hundred forty-six thousand, three hundred ninety".