28639733760 has 960 divisors, whose sum is σ = 116159883840. Its totient is φ = 6688604160.

The previous prime is 28639733743. The next prime is 28639733797. The reversal of 28639733760 is 6733793682.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 28639733697 and 28639733706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 392325084 + ... + 392325156.

It is an arithmetic number, because the mean of its divisors is an integer number (120999879).

Almost surely, 2^28639733760 is an apocalyptic number.

28639733760 is a gapful number since it is divisible by the number (20) 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 28639733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58079941920).

28639733760 is an abundant number, since it is smaller than the sum of its proper divisors (87520150080).

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

28639733760 is a wasteful number, since it uses less digits than its factorization.

28639733760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 28639733760 in words is "twenty-eight billion, six hundred thirty-nine million, seven hundred thirty-three thousand, seven hundred sixty".