28064006880 has 384 divisors, whose sum is σ = 110039731200. Its totient is φ = 5853855744.

The previous prime is 28064006851. The next prime is 28064006881. The reversal of 28064006880 is 8860046082.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28064006881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883911 + ... + 3891129.

It is an arithmetic number, because the mean of its divisors is an integer number (286561800).

Almost surely, 2^28064006880 is an apocalyptic number.

28064006880 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 28064006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55019865600).

28064006880 is an abundant number, since it is smaller than the sum of its proper divisors (81975724320).

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

28064006880 is a wasteful number, since it uses less digits than its factorization.

28064006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 28064006880 in words is "twenty-eight billion, sixty-four million, six thousand, eight hundred eighty".