272849286528 has 768 divisors, whose sum is σ = 1007695503360. Its totient is φ = 68929781760.

The previous prime is 272849286509. The next prime is 272849286539. The reversal of 272849286528 is 825682948272.

272849286528 is a `hidden beast` number, since 2 + 7 + 2 + 84 + 9 + 28 + 6 + 528 = 666.

272849286528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 367226125 + ... + 367226867.

It is an arithmetic number, because the mean of its divisors is an integer number (1312103520).

Almost surely, 2^272849286528 is an apocalyptic number.

272849286528 is a gapful number since it is divisible by the number (28) 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 272849286528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503847751680).

272849286528 is an abundant number, since it is smaller than the sum of its proper divisors (734846216832).

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

272849286528 is a wasteful number, since it uses less digits than its factorization.

272849286528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 912 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 272849286528 in words is "two hundred seventy-two billion, eight hundred forty-nine million, two hundred eighty-six thousand, five hundred twenty-eight".