2827488300 has 432 divisors, whose sum is σ = 10491328512. Its totient is φ = 575078400.

The previous prime is 2827488283. The next prime is 2827488353. The reversal of 2827488300 is 38847282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11001772 + ... + 11002028.

Almost surely, 2^2827488300 is an apocalyptic number.

2827488300 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 2827488300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245664256).

2827488300 is an abundant number, since it is smaller than the sum of its proper divisors (7663840212).

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

2827488300 is a wasteful number, since it uses less digits than its factorization.

2827488300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2827488300 is about 53174.1318687950. The cubic root of 2827488300 is about 1414.0570742667.

The spelling of 2827488300 in words is "two billion, eight hundred twenty-seven million, four hundred eighty-eight thousand, three hundred".