2827162800 has 1080 divisors, whose sum is σ = 13125445632. Its totient is φ = 556416000.

The previous prime is 2827162799. The next prime is 2827162801. The reversal of 2827162800 is 82617282.

It is a happy number.

2827162800 is a `hidden beast` number, since 2 + 8 + 27 + 1 + 628 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2827162799) and next prime (2827162801).

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

It is not an unprimeable number, because it can be changed into a prime (2827162801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 60152377 + ... + 60152423.

Almost surely, 2^2827162800 is an apocalyptic number.

2827162800 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 2827162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562722816).

2827162800 is an abundant number, since it is smaller than the sum of its proper divisors (10298282832).

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

2827162800 is a wasteful number, since it uses less digits than its factorization.

2827162800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

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

The square root of 2827162800 is about 53171.0710819333. The cubic root of 2827162800 is about 1414.0028101764.

The spelling of 2827162800 in words is "two billion, eight hundred twenty-seven million, one hundred sixty-two thousand, eight hundred".