28895682816 has 1296 divisors, whose sum is σ = 121119852672. Its totient is φ = 6423183360.

The previous prime is 28895682811. The next prime is 28895682857. The reversal of 28895682816 is 61828659882.

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

Its product of digits (26542080) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (28895682811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 431278815 + ... + 431278881.

Almost surely, 2^28895682816 is an apocalyptic number.

28895682816 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 28895682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60559926336).

28895682816 is an abundant number, since it is smaller than the sum of its proper divisors (92224169856).

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

28895682816 is a wasteful number, since it uses less digits than its factorization.

28895682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 28895682816 in words is "twenty-eight billion, eight hundred ninety-five million, six hundred eighty-two thousand, eight hundred sixteen".