28822405248 has 768 divisors, whose sum is σ = 108116736000. Its totient is φ = 7315660800.

The previous prime is 28822405207. The next prime is 28822405259. The reversal of 28822405248 is 84250422882.

28822405248 is a `hidden beast` number, since 2 + 8 + 82 + 2 + 40 + 524 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159239718 + ... + 159239898.

It is an arithmetic number, because the mean of its divisors is an integer number (140777000).

Almost surely, 2^28822405248 is an apocalyptic number.

28822405248 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 28822405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54058368000).

28822405248 is an abundant number, since it is smaller than the sum of its proper divisors (79294330752).

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

28822405248 is a wasteful number, since it uses less digits than its factorization.

28822405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 28822405248 in words is "twenty-eight billion, eight hundred twenty-two million, four hundred five thousand, two hundred forty-eight".