28635973632 has 384 divisors, whose sum is σ = 97745356800. Its totient is φ = 8114356224.

The previous prime is 28635973543. The next prime is 28635973687. The reversal of 28635973632 is 23637953682.

It is a happy number.

28635973632 is a `hidden beast` number, since 286 + 359 + 7 + 3 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (9797760) is a multiple of the sum of its prime factors (648).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64640803 + ... + 64641245.

It is an arithmetic number, because the mean of its divisors is an integer number (254545200).

Almost surely, 2^28635973632 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 28635973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48872678400).

28635973632 is an abundant number, since it is smaller than the sum of its proper divisors (69109383168).

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

28635973632 is a wasteful number, since it uses less digits than its factorization.

28635973632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 622 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 28635973632 in words is "twenty-eight billion, six hundred thirty-five million, nine hundred seventy-three thousand, six hundred thirty-two".