2827488160 has 72 divisors (see below), whose sum is σ = 7770564900. Its totient is φ = 969421824.

The previous prime is 2827488151. The next prime is 2827488179. The reversal of 2827488160 is 618847282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2827261584 + 226576 = 53172^2 + 476^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2827488160.

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, 172485 + ... + 188164.

Almost surely, 2^2827488160 is an apocalyptic number.

2827488160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2827488160 is an abundant number, since it is smaller than the sum of its proper divisors (4943076740).

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

2827488160 is a wasteful number, since it uses less digits than its factorization.

2827488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360678 (or 360663 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 2827488160 is about 53174.1305523654. The cubic root of 2827488160 is about 1414.0570509282.

The spelling of 2827488160 in words is "two billion, eight hundred twenty-seven million, four hundred eighty-eight thousand, one hundred sixty".