28682506944 has 504 divisors, whose sum is σ = 105577355520. Its totient is φ = 7559764992.

The previous prime is 28682506921. The next prime is 28682506949. The reversal of 28682506944 is 44960528682.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28682506949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18397237 + ... + 18398795.

It is an arithmetic number, because the mean of its divisors is an integer number (209478880).

Almost surely, 2^28682506944 is an apocalyptic number.

28682506944 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 28682506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52788677760).

28682506944 is an abundant number, since it is smaller than the sum of its proper divisors (76894848576).

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

28682506944 is a wasteful number, since it uses less digits than its factorization.

28682506944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28682506944 in words is "twenty-eight billion, six hundred eighty-two million, five hundred six thousand, nine hundred forty-four".