2827528704 has 480 divisors, whose sum is σ = 10974547584. Its totient is φ = 676823040.

The previous prime is 2827528703. The next prime is 2827528721. The reversal of 2827528704 is 4078257282.

It is a self number, because there is not a number n which added to its sum of digits gives 2827528704.

It is not an unprimeable number, because it can be changed into a prime (2827528703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4612302 + ... + 4612914.

Almost surely, 2^2827528704 is an apocalyptic number.

2827528704 is a gapful number since it is divisible by the number (24) 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 2827528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487273792).

2827528704 is an abundant number, since it is smaller than the sum of its proper divisors (8147018880).

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

2827528704 is a wasteful number, since it uses less digits than its factorization.

2827528704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2827528704 is about 53174.5117890141. The cubic root of 2827528704 is about 1414.0638097251.

The spelling of 2827528704 in words is "two billion, eight hundred twenty-seven million, five hundred twenty-eight thousand, seven hundred four".