28224627984 has 240 divisors, whose sum is σ = 99203620800. Its totient is φ = 7639640064.

The previous prime is 28224627983. The next prime is 28224627989. The reversal of 28224627984 is 48972642282.

28224627984 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 4 + 627 + 9 + 8 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28224627984.

It is not an unprimeable number, because it can be changed into a prime (28224627983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367104 + ... + 437280.

It is an arithmetic number, because the mean of its divisors is an integer number (413348420).

Almost surely, 2^28224627984 is an apocalyptic number.

28224627984 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 28224627984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49601810400).

28224627984 is an abundant number, since it is smaller than the sum of its proper divisors (70978992816).

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

28224627984 is a wasteful number, since it uses less digits than its factorization.

28224627984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70227 (or 70208 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 28224627984 in words is "twenty-eight billion, two hundred twenty-four million, six hundred twenty-seven thousand, nine hundred eighty-four".