2827012860 has 192 divisors, whose sum is σ = 10257408000. Its totient is φ = 646132032.

The previous prime is 2827012849. The next prime is 2827012873. The reversal of 2827012860 is 682107282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177589 + ... + 192851.

It is an arithmetic number, because the mean of its divisors is an integer number (53424000).

Almost surely, 2^2827012860 is an apocalyptic number.

2827012860 is a gapful number since it is divisible by the number (20) 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 2827012860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128704000).

2827012860 is an abundant number, since it is smaller than the sum of its proper divisors (7430395140).

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

2827012860 is a wasteful number, since it uses less digits than its factorization.

2827012860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15302 (or 15280 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2827012860 is about 53169.6610859990. The cubic root of 2827012860 is about 1413.9778122846.

The spelling of 2827012860 in words is "two billion, eight hundred twenty-seven million, twelve thousand, eight hundred sixty".