28452769344 has 448 divisors, whose sum is σ = 94219776000. Its totient is φ = 8375685120.

The previous prime is 28452769307. The next prime is 28452769349. The reversal of 28452769344 is 44396725482.

It is a happy number.

28452769344 is a `hidden beast` number, since 2 + 84 + 527 + 6 + 9 + 34 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28452769349) 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 63 ways as a sum of consecutive naturals, for example, 30960117 + ... + 30961035.

It is an arithmetic number, because the mean of its divisors is an integer number (210312000).

Almost surely, 2^28452769344 is an apocalyptic number.

28452769344 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 28452769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47109888000).

28452769344 is an abundant number, since it is smaller than the sum of its proper divisors (65767006656).

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

28452769344 is a wasteful number, since it uses less digits than its factorization.

28452769344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1007 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 28452769344 in words is "twenty-eight billion, four hundred fifty-two million, seven hundred sixty-nine thousand, three hundred forty-four".