28965978648 has 384 divisors, whose sum is σ = 91644825600. Its totient is φ = 8450956800.

The previous prime is 28965978641. The next prime is 28965978661. The reversal of 28965978648 is 84687956982.

28965978648 is a `hidden beast` number, since 28 + 9 + 6 + 597 + 8 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28965978641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55596628 + ... + 55597148.

It is an arithmetic number, because the mean of its divisors is an integer number (238658400).

Almost surely, 2^28965978648 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 28965978648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45822412800).

28965978648 is an abundant number, since it is smaller than the sum of its proper divisors (62678846952).

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

28965978648 is a wasteful number, since it uses less digits than its factorization.

28965978648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 599 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 28965978648 in words is "twenty-eight billion, nine hundred sixty-five million, nine hundred seventy-eight thousand, six hundred forty-eight".