827258988 has 96 divisors (see below), whose sum is σ = 2043518400. Its totient is φ = 260112384.

The previous prime is 827258977. The next prime is 827258989. The reversal of 827258988 is 889852728.

It is not an unprimeable number, because it can be changed into a prime (827258989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4286220 + ... + 4286412.

It is an arithmetic number, because the mean of its divisors is an integer number (21286650).

Almost surely, 2^827258988 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 827258988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021759200).

827258988 is an abundant number, since it is smaller than the sum of its proper divisors (1216259412).

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

827258988 is a wasteful number, since it uses less digits than its factorization.

827258988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The square root of 827258988 is about 28762.1102841916. The cubic root of 827258988 is about 938.7439796234.

The spelling of 827258988 in words is "eight hundred twenty-seven million, two hundred fifty-eight thousand, nine hundred eighty-eight".