28969690464 has 288 divisors, whose sum is σ = 99911605248. Its totient is φ = 7841664000.

The previous prime is 28969690427. The next prime is 28969690481. The reversal of 28969690464 is 46409696982.

28969690464 is a `hidden beast` number, since 2 + 89 + 6 + 9 + 6 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1265359 + ... + 1288049.

It is an arithmetic number, because the mean of its divisors is an integer number (346915296).

Almost surely, 2^28969690464 is an apocalyptic number.

28969690464 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 28969690464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49955802624).

28969690464 is an abundant number, since it is smaller than the sum of its proper divisors (70941914784).

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

28969690464 is a wasteful number, since it uses less digits than its factorization.

28969690464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22762 (or 22751 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 28969690464 in words is "twenty-eight billion, nine hundred sixty-nine million, six hundred ninety thousand, four hundred sixty-four".