820048038 has 8 divisors (see below), whose sum is σ = 1640096088. Its totient is φ = 273349344.

The previous prime is 820048007. The next prime is 820048043. The reversal of 820048038 is 830840028.

It is a sphenic number, since it is the product of 3 distinct primes.

820048038 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68337331 + ... + 68337342.

It is an arithmetic number, because the mean of its divisors is an integer number (205012011).

Almost surely, 2^820048038 is an apocalyptic number.

820048038 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

820048038 is a wasteful number, since it uses less digits than its factorization.

820048038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136674678.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 820048038 is about 28636.4808941322. The cubic root of 820048038 is about 936.0084396383.

The spelling of 820048038 in words is "eight hundred twenty million, forty-eight thousand, thirty-eight".