28128419968 has 64 divisors (see below), whose sum is σ = 61725193920. Its totient is φ = 12661447680.

The previous prime is 28128419951. The next prime is 28128419981. The reversal of 28128419968 is 86991482182.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×28128419968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48046 + ... + 242002.

It is an arithmetic number, because the mean of its divisors is an integer number (964456155).

Almost surely, 2^28128419968 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 28128419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862596960).

28128419968 is an abundant number, since it is smaller than the sum of its proper divisors (33596773952).

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

28128419968 is a wasteful number, since it uses less digits than its factorization.

28128419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194085 (or 194073 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 58.

The spelling of 28128419968 in words is "twenty-eight billion, one hundred twenty-eight million, four hundred nineteen thousand, nine hundred sixty-eight".