28189534464 has 360 divisors, whose sum is σ = 103460575680. Its totient is φ = 7434104832.

The previous prime is 28189534409. The next prime is 28189534469. The reversal of 28189534464 is 46443598182.

28189534464 is a `hidden beast` number, since 28 + 1 + 89 + 534 + 4 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28189534464.

It is not an unprimeable number, because it can be changed into a prime (28189534469) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1879507 + ... + 1894445.

It is an arithmetic number, because the mean of its divisors is an integer number (287390488).

Almost surely, 2^28189534464 is an apocalyptic number.

28189534464 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 28189534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51730287840).

28189534464 is an abundant number, since it is smaller than the sum of its proper divisors (75271041216).

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

28189534464 is a wasteful number, since it uses less digits than its factorization.

28189534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14987 (or 14964 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 28189534464 in words is "twenty-eight billion, one hundred eighty-nine million, five hundred thirty-four thousand, four hundred sixty-four".