208248011028 has 72 divisors (see below), whose sum is σ = 528198489000. Its totient is φ = 69179682816.

The previous prime is 208248011011. The next prime is 208248011053. The reversal of 208248011028 is 820110842802.

It can be written as a sum of positive squares in 4 ways, for example, as 45159650064 + 163088360964 = 212508^2 + 403842^2 .

It is a super-3 number, since 3×208248011028³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 208248010983 and 208248011001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32776300 + ... + 32782652.

It is an arithmetic number, because the mean of its divisors is an integer number (7336090125).

Almost surely, 2^208248011028 is an apocalyptic number.

It is an amenable number.

208248011028 is an abundant number, since it is smaller than the sum of its proper divisors (319950477972).

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

208248011028 is a wasteful number, since it uses less digits than its factorization.

208248011028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 208248011028 in words is "two hundred eight billion, two hundred forty-eight million, eleven thousand, twenty-eight".