828022345938 has 42 divisors (see below), whose sum is σ = 1862276548647. Its totient is φ = 275995866780.

The previous prime is 828022345937. The next prime is 828022345963. The reversal of 828022345938 is 839543220828.

828022345938 is a `hidden beast` number, since 8 + 28 + 0 + 2 + 23 + 4 + 593 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 414011172969 + 414011172969 = 643437^2 + 643437^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=643437.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (828022345933) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 34733683 + ... + 34757513.

Almost surely, 2^828022345938 is an apocalyptic number.

828022345938 is an abundant number, since it is smaller than the sum of its proper divisors (1034254202709).

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

828022345938 is an frugal number, since it uses more digits than its factorization.

828022345938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47682 (or 23836 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 828022345938 in words is "eight hundred twenty-eight billion, twenty-two million, three hundred forty-five thousand, nine hundred thirty-eight".