28314068238960 has 320 divisors, whose sum is σ = 105868058296320. Its totient is φ = 6115155747840.

The previous prime is 28314068238949. The next prime is 28314068239013. The reversal of 28314068238960 is 6983286041382.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 28314068238894 and 28314068238903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11067355 + ... + 13383365.

It is an arithmetic number, because the mean of its divisors is an integer number (330837682176).

Almost surely, 2^{28314068238960} is an apocalyptic number.

28314068238960 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 28314068238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934029148160).

28314068238960 is an abundant number, since it is smaller than the sum of its proper divisors (77553990057360).

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

28314068238960 is a wasteful number, since it uses less digits than its factorization.

28314068238960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316436 (or 2316430 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 28314068238960 in words is "twenty-eight trillion, three hundred fourteen billion, sixty-eight million, two hundred thirty-eight thousand, nine hundred sixty".