28348119072 has 768 divisors, whose sum is σ = 109247201280. Its totient is φ = 6939426816.

The previous prime is 28348119067. The next prime is 28348119119. The reversal of 28348119072 is 27091184382.

It is a happy number.

28348119072 is a `hidden beast` number, since 2 + 83 + 481 + 1 + 90 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169749133 + ... + 169749299.

It is an arithmetic number, because the mean of its divisors is an integer number (142248960).

Almost surely, 2^28348119072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28348119072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54623600640).

28348119072 is an abundant number, since it is smaller than the sum of its proper divisors (80899082208).

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

28348119072 is a wasteful number, since it uses less digits than its factorization.

28348119072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28348119072 in words is "twenty-eight billion, three hundred forty-eight million, one hundred nineteen thousand, seventy-two".