28416349584 has 80 divisors (see below), whose sum is σ = 93217664640. Its totient is φ = 8118956160.

The previous prime is 28416349583. The next prime is 28416349657. The reversal of 28416349584 is 48594361482.

28416349584 is a `hidden beast` number, since 2 + 8 + 4 + 16 + 3 + 49 + 584 = 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 28416349584.

It is not an unprimeable number, because it can be changed into a prime (28416349583) by changing a digit.

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, 4695447 + ... + 4701494.

It is an arithmetic number, because the mean of its divisors is an integer number (1165220808).

Almost surely, 2^28416349584 is an apocalyptic number.

28416349584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28416349584 is an abundant number, since it is smaller than the sum of its proper divisors (64801315056).

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

28416349584 is a wasteful number, since it uses less digits than its factorization.

28416349584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396965 (or 9396953 counting only the distinct ones).

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

The spelling of 28416349584 in words is "twenty-eight billion, four hundred sixteen million, three hundred forty-nine thousand, five hundred eighty-four".