28983846528 has 576 divisors, whose sum is σ = 105645496320. Its totient is φ = 7559516160.

The previous prime is 28983846523. The next prime is 28983846539. The reversal of 28983846528 is 82564838982.

28983846528 is a `hidden beast` number, since 28 + 9 + 8 + 3 + 84 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (28983846523) 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 71 ways as a sum of consecutive naturals, for example, 93195493 + ... + 93195803.

It is an arithmetic number, because the mean of its divisors is an integer number (183412320).

Almost surely, 2^28983846528 is an apocalyptic number.

28983846528 is a gapful number since it is divisible by the number (28) 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 28983846528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52822748160).

28983846528 is an abundant number, since it is smaller than the sum of its proper divisors (76661649792).

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

28983846528 is a wasteful number, since it uses less digits than its factorization.

28983846528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 28983846528 in words is "twenty-eight billion, nine hundred eighty-three million, eight hundred forty-six thousand, five hundred twenty-eight".