2827850400 has 288 divisors, whose sum is σ = 10349337600. Its totient is φ = 745113600.

The previous prime is 2827850387. The next prime is 2827850447. The reversal of 2827850400 is 40587282.

It is a happy number.

2827850400 is a `hidden beast` number, since 2 + 82 + 78 + 504 + 0 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921665 + ... + 1923135.

It is an arithmetic number, because the mean of its divisors is an integer number (35935200).

Almost surely, 2^2827850400 is an apocalyptic number.

2827850400 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 2827850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174668800).

2827850400 is an abundant number, since it is smaller than the sum of its proper divisors (7521487200).

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

2827850400 is a wasteful number, since it uses less digits than its factorization.

2827850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2827850400 is about 53177.5366108661. The cubic root of 2827850400 is about 1414.1174350482.

The spelling of 2827850400 in words is "two billion, eight hundred twenty-seven million, eight hundred fifty thousand, four hundred".