28650638016 has 1344 divisors, whose sum is σ = 121420615680. Its totient is φ = 6210846720.

The previous prime is 28650637991. The next prime is 28650638017. The reversal of 28650638016 is 61083605682.

28650638016 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 0 + 638 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (28650638017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362666265 + ... + 362666343.

It is an arithmetic number, because the mean of its divisors is an integer number (90342720).

Almost surely, 2^28650638016 is an apocalyptic number.

28650638016 is a gapful number since it is divisible by the number (26) 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 28650638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710307840).

28650638016 is an abundant number, since it is smaller than the sum of its proper divisors (92769977664).

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

28650638016 is a wasteful number, since it uses less digits than its factorization.

28650638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 28650 and 638016, that added together give a palindrome (666666).

The spelling of 28650638016 in words is "twenty-eight billion, six hundred fifty million, six hundred thirty-eight thousand, sixteen".