872832283848 has 420 divisors, whose sum is σ = 2879096655435. Its totient is φ = 247049992224.

The previous prime is 872832283837. The next prime is 872832283871. The reversal of 872832283848 is 848382238278.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

872832283848 is a `hidden beast` number, since 8 + 7 + 28 + 3 + 228 + 384 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 436416141924 + 436416141924 = 660618^2 + 660618^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=660618.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 8157311011 + ... + 8157311117.

Almost surely, 2^872832283848 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 872832283848

872832283848 is an abundant number, since it is smaller than the sum of its proper divisors (2006264371587).

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

872832283848 is an frugal number, since it uses more digits than its factorization.

872832283848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 119 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 872832283848 in words is "eight hundred seventy-two billion, eight hundred thirty-two million, two hundred eighty-three thousand, eight hundred forty-eight".