28034463744 has 768 divisors, whose sum is σ = 102651494400. Its totient is φ = 7386660864.

The previous prime is 28034463713. The next prime is 28034463749. The reversal of 28034463744 is 44736443082.

28034463744 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 4 + 4 + 637 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 28034463744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28034463749) 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 63 ways as a sum of consecutive naturals, for example, 418424799 + ... + 418424865.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^28034463744 is an apocalyptic number.

28034463744 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 28034463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51325747200).

28034463744 is an abundant number, since it is smaller than the sum of its proper divisors (74617030656).

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

28034463744 is a wasteful number, since it uses less digits than its factorization.

28034463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 28034463744 in words is "twenty-eight billion, thirty-four million, four hundred sixty-three thousand, seven hundred forty-four".