2028097132848 has 480 divisors, whose sum is σ = 6399290544192. Its totient is φ = 619293081600.

The previous prime is 2028097132819. The next prime is 2028097132861. The reversal of 2028097132848 is 8482317908202.

2028097132848 is a `hidden beast` number, since 202 + 8 + 0 + 9 + 71 + 328 + 48 = 666.

It is a super-2 number, since 2×2028097132848² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2028097132794 and 2028097132803.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1986382578 + ... + 1986383598.

Almost surely, 2^{2028097132848} 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 2028097132848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199645272096).

2028097132848 is an abundant number, since it is smaller than the sum of its proper divisors (4371193411344).

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

2028097132848 is a wasteful number, since it uses less digits than its factorization.

2028097132848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2028097132848 in words is "two trillion, twenty-eight billion, ninety-seven million, one hundred thirty-two thousand, eight hundred forty-eight".