827520288 has 144 divisors (see below), whose sum is σ = 2637802944. Its totient is φ = 222474240.

The previous prime is 827520277. The next prime is 827520299. The reversal of 827520288 is 882025728.

It is an interprime number because it is at equal distance from previous prime (827520277) and next prime (827520299).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192078 + ... + 196338.

It is an arithmetic number, because the mean of its divisors is an integer number (18318076).

Almost surely, 2^827520288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827520288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318901472).

827520288 is an abundant number, since it is smaller than the sum of its proper divisors (1810282656).

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

827520288 is a wasteful number, since it uses less digits than its factorization.

827520288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 827520288 is about 28766.6523599810. The cubic root of 827520288 is about 938.8428071907.

The spelling of 827520288 in words is "eight hundred twenty-seven million, five hundred twenty thousand, two hundred eighty-eight".