28319906160 has 960 divisors, whose sum is σ = 123128119296. Its totient is φ = 5673369600.

The previous prime is 28319906159. The next prime is 28319906203. The reversal of 28319906160 is 6160991382.

It is a happy number.

28319906160 is a `hidden beast` number, since 28 + 3 + 1 + 9 + 9 + 0 + 616 + 0 = 666.

It is a super-2 number, since 2×28319906160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148271665 + ... + 148271855.

Almost surely, 2^28319906160 is an apocalyptic number.

28319906160 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 28319906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61564059648).

28319906160 is an abundant number, since it is smaller than the sum of its proper divisors (94808213136).

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

28319906160 is a wasteful number, since it uses less digits than its factorization.

28319906160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 28319906160 in words is "twenty-eight billion, three hundred nineteen million, nine hundred six thousand, one hundred sixty".