28826738304 has 768 divisors, whose sum is σ = 103215513600. Its totient is φ = 6958448640.

The previous prime is 28826738287. The next prime is 28826738321. The reversal of 28826738304 is 40383762882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28826738287) and next prime (28826738321).

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, 323895892 + ... + 323895980.

It is an arithmetic number, because the mean of its divisors is an integer number (134395200).

Almost surely, 2^28826738304 is an apocalyptic number.

28826738304 is a gapful number since it is divisible by the number (24) 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 28826738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51607756800).

28826738304 is an abundant number, since it is smaller than the sum of its proper divisors (74388775296).

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

28826738304 is a wasteful number, since it uses less digits than its factorization.

28826738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 28826738304 in words is "twenty-eight billion, eight hundred twenty-six million, seven hundred thirty-eight thousand, three hundred four".