28602838880 has 288 divisors, whose sum is σ = 86160920832. Its totient is φ = 8717184000.

The previous prime is 28602838879. The next prime is 28602838889. The reversal of 28602838880 is 8883820682.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28602838889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27214355 + ... + 27215405.

It is an arithmetic number, because the mean of its divisors is an integer number (299169864).

Almost surely, 2^28602838880 is an apocalyptic number.

28602838880 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 28602838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43080460416).

28602838880 is an abundant number, since it is smaller than the sum of its proper divisors (57558081952).

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

28602838880 is a wasteful number, since it uses less digits than its factorization.

28602838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 53.

The spelling of 28602838880 in words is "twenty-eight billion, six hundred two million, eight hundred thirty-eight thousand, eight hundred eighty".