2827914768 has 200 divisors, whose sum is σ = 9761482368. Its totient is φ = 772789248.

The previous prime is 2827914763. The next prime is 2827914769. The reversal of 2827914768 is 8674197282.

It is a happy number.

2827914768 is a `hidden beast` number, since 2 + 82 + 7 + 91 + 476 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2827914763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201880 + ... + 215432.

Almost surely, 2^2827914768 is an apocalyptic number.

2827914768 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 2827914768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4880741184).

2827914768 is an abundant number, since it is smaller than the sum of its proper divisors (6933567600).

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

2827914768 is a wasteful number, since it uses less digits than its factorization.

2827914768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13603 (or 13588 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 2827914768 is about 53178.1418253778. The cubic root of 2827914768 is about 1414.1281644254.

The spelling of 2827914768 in words is "two billion, eight hundred twenty-seven million, nine hundred fourteen thousand, seven hundred sixty-eight".