80028316368 has 960 divisors, whose sum is σ = 318219632640. Its totient is φ = 18095616000.

The previous prime is 80028316327. The next prime is 80028316447. The reversal of 80028316368 is 86361382008.

80028316368 is a `hidden beast` number, since 8 + 0 + 0 + 2 + 8 + 3 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×80028316368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 334846393 + ... + 334846631.

It is an arithmetic number, because the mean of its divisors is an integer number (331478784).

Almost surely, 2^80028316368 is an apocalyptic number.

80028316368 is a gapful number since it is divisible by the number (88) 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 80028316368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159109816320).

80028316368 is an abundant number, since it is smaller than the sum of its proper divisors (238191316272).

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

80028316368 is a wasteful number, since it uses less digits than its factorization.

80028316368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 80028316368 in words is "eighty billion, twenty-eight million, three hundred sixteen thousand, three hundred sixty-eight".