28267528464 has 720 divisors, whose sum is σ = 104527238400. Its totient is φ = 7064838144.

The previous prime is 28267528453. The next prime is 28267528493. The reversal of 28267528464 is 46482576282.

It is a self number, because there is not a number n which added to its sum of digits gives 28267528464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180047874 + ... + 180048030.

It is an arithmetic number, because the mean of its divisors is an integer number (145176720).

Almost surely, 2^28267528464 is an apocalyptic number.

28267528464 is a gapful number since it is divisible by the number (24) 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 28267528464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52263619200).

28267528464 is an abundant number, since it is smaller than the sum of its proper divisors (76259709936).

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

28267528464 is a wasteful number, since it uses less digits than its factorization.

28267528464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 28267528464 in words is "twenty-eight billion, two hundred sixty-seven million, five hundred twenty-eight thousand, four hundred sixty-four".