28983334464 has 560 divisors, whose sum is σ = 104485765120. Its totient is φ = 7759825920.

The previous prime is 28983334447. The next prime is 28983334469. The reversal of 28983334464 is 46443338982.

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 28983334464.

It is not an unprimeable number, because it can be changed into a prime (28983334469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87562779 + ... + 87563109.

Almost surely, 2^28983334464 is an apocalyptic number.

28983334464 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 28983334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52242882560).

28983334464 is an abundant number, since it is smaller than the sum of its proper divisors (75502430656).

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

28983334464 is a wasteful number, since it uses less digits than its factorization.

28983334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

Adding to 28983334464 its product of digits (11943936), we get a square (28995278400 = 170280²).

The spelling of 28983334464 in words is "twenty-eight billion, nine hundred eighty-three million, three hundred thirty-four thousand, four hundred sixty-four".