28394518464 has 224 divisors, whose sum is σ = 95185016640. Its totient is φ = 8222736384.

The previous prime is 28394518433. The next prime is 28394518469. The reversal of 28394518464 is 46481549382.

28394518464 is a `hidden beast` number, since 2 + 83 + 9 + 4 + 518 + 46 + 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 28394518464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28394518469) 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 31 ways as a sum of consecutive naturals, for example, 344712 + ... + 419064.

It is an arithmetic number, because the mean of its divisors is an integer number (424933110).

Almost surely, 2^28394518464 is an apocalyptic number.

28394518464 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 28394518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47592508320).

28394518464 is an abundant number, since it is smaller than the sum of its proper divisors (66790498176).

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

28394518464 is a wasteful number, since it uses less digits than its factorization.

28394518464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74404 (or 74388 counting only the distinct ones).

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

The spelling of 28394518464 in words is "twenty-eight billion, three hundred ninety-four million, five hundred eighteen thousand, four hundred sixty-four".