28814558976 has 756 divisors, whose sum is σ = 105440206032. Its totient is φ = 7817306112.

The previous prime is 28814558951. The next prime is 28814559023. The reversal of 28814558976 is 67985541882.

28814558976 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 4 + 558 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 210325180 + ... + 210325316.

It is an arithmetic number, because the mean of its divisors is an integer number (139471172).

Almost surely, 2^28814558976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28814558976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52720103016).

28814558976 is an abundant number, since it is smaller than the sum of its proper divisors (76625647056).

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

28814558976 is an equidigital number, since it uses as much as digits as its factorization.

28814558976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 172 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 28814558976 in words is "twenty-eight billion, eight hundred fourteen million, five hundred fifty-eight thousand, nine hundred seventy-six".