2827869408 has 480 divisors, whose sum is σ = 10791728640. Its totient is φ = 705438720.

The previous prime is 2827869391. The next prime is 2827869413. The reversal of 2827869408 is 8049687282.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481253 + ... + 4481883.

It is an arithmetic number, because the mean of its divisors is an integer number (22482768).

Almost surely, 2^2827869408 is an apocalyptic number.

2827869408 is a gapful number since it is divisible by the number (28) 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 2827869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395864320).

2827869408 is an abundant number, since it is smaller than the sum of its proper divisors (7963859232).

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

2827869408 is a wasteful number, since it uses less digits than its factorization.

2827869408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2827869408 is about 53177.7153326466. The cubic root of 2827869408 is about 1414.1206034718.

The spelling of 2827869408 in words is "two billion, eight hundred twenty-seven million, eight hundred sixty-nine thousand, four hundred eight".