2827382400 has 288 divisors, whose sum is σ = 10621790400. Its totient is φ = 714147840.

The previous prime is 2827382351. The next prime is 2827382401. The reversal of 2827382400 is 42837282.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827382401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 544617 + ... + 549783.

Almost surely, 2^2827382400 is an apocalyptic number.

2827382400 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 2827382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310895200).

2827382400 is an abundant number, since it is smaller than the sum of its proper divisors (7794408000).

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

2827382400 is a wasteful number, since it uses less digits than its factorization.

2827382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2827382400 is about 53173.1360745255. The cubic root of 2827382400 is about 1414.0394201396.

The spelling of 2827382400 in words is "two billion, eight hundred twenty-seven million, three hundred eighty-two thousand, four hundred".