827475484574728 has 64 divisors (see below), whose sum is σ = 1725065763707520. Its totient is φ = 368907160627200.

The previous prime is 827475484574699. The next prime is 827475484574731.

827475484574728 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14987700 + ... + 43354147.

It is an arithmetic number, because the mean of its divisors is an integer number (26954152557930).

Almost surely, 2^{827475484574728} is an apocalyptic number.

827475484574728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827475484574728 is an abundant number, since it is smaller than the sum of its proper divisors (897590279132792).

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

827475484574728 is a wasteful number, since it uses less digits than its factorization.

827475484574728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58344958 (or 58344954 counting only the distinct ones).

The product of its digits is 31470387200, while the sum is 82.

The spelling of 827475484574728 in words is "eight hundred twenty-seven trillion, four hundred seventy-five billion, four hundred eighty-four million, five hundred seventy-four thousand, seven hundred twenty-eight".