827478288 has 480 divisors, whose sum is σ = 3103134720. Its totient is φ = 209018880.

The previous prime is 827478271. The next prime is 827478293. The reversal of 827478288 is 882874728.

It is a super-2 number, since 2×827478288² = 1369440634222821888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8530656 + ... + 8530752.

It is an arithmetic number, because the mean of its divisors is an integer number (6464864).

Almost surely, 2^827478288 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 827478288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551567360).

827478288 is an abundant number, since it is smaller than the sum of its proper divisors (2275656432).

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

827478288 is a wasteful number, since it uses less digits than its factorization.

827478288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 827478288 is about 28765.9223387674. The cubic root of 827478288 is about 938.8269235660.

The spelling of 827478288 in words is "eight hundred twenty-seven million, four hundred seventy-eight thousand, two hundred eighty-eight".