2832846672 has 80 divisors (see below), whose sum is σ = 7581925440. Its totient is φ = 910350336.

The previous prime is 2832846647. The next prime is 2832846673. The reversal of 2832846672 is 2766482382.

2832846672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2832846672² = 16050040534122951168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832846673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358943 + ... + 1361025.

It is an arithmetic number, because the mean of its divisors is an integer number (94774068).

Almost surely, 2^2832846672 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 2832846672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790962720).

2832846672 is an abundant number, since it is smaller than the sum of its proper divisors (4749078768).

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

2832846672 is a wasteful number, since it uses less digits than its factorization.

2832846672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3094 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 2832846672 is about 53224.4931586953. The cubic root of 2832846672 is about 1414.9497702622.

The spelling of 2832846672 in words is "two billion, eight hundred thirty-two million, eight hundred forty-six thousand, six hundred seventy-two".