28760073508320 has 1728 divisors, whose sum is σ = 122505031950336. Its totient is φ = 5641574400000.

The previous prime is 28760073508307. The next prime is 28760073508339. The reversal of 28760073508320 is 2380537006782.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3617160345 + ... + 3617168295.

It is an arithmetic number, because the mean of its divisors is an integer number (70894115712).

Almost surely, 2^{28760073508320} is an apocalyptic number.

28760073508320 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 28760073508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61252515975168).

28760073508320 is an abundant number, since it is smaller than the sum of its proper divisors (93744958442016).

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

28760073508320 is a wasteful number, since it uses less digits than its factorization.

28760073508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 28760073508320 in words is "twenty-eight trillion, seven hundred sixty billion, seventy-three million, five hundred eight thousand, three hundred twenty".