2827708416 has 144 divisors (see below), whose sum is σ = 8795912580. Its totient is φ = 869990400.

The previous prime is 2827708397. The next prime is 2827708483. The reversal of 2827708416 is 6148077282.

It can be written as a sum of positive squares in 2 ways, for example, as 2737382400 + 90326016 = 52320^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233716 + ... + 245516.

Almost surely, 2^2827708416 is an apocalyptic number.

2827708416 is a gapful number since it is divisible by the number (26) 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 2827708416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397956290).

2827708416 is an abundant number, since it is smaller than the sum of its proper divisors (5968204164).

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

2827708416 is a wasteful number, since it uses less digits than its factorization.

2827708416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11819 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2827708416 is about 53176.2015943222. The cubic root of 2827708416 is about 1414.0937674348.

The spelling of 2827708416 in words is "two billion, eight hundred twenty-seven million, seven hundred eight thousand, four hundred sixteen".