8102832948 has 288 divisors, whose sum is σ = 26158003200. Its totient is φ = 2118882240.

The previous prime is 8102832923. The next prime is 8102832949. The reversal of 8102832948 is 8492382018.

8102832948 is a `hidden beast` number, since 81 + 0 + 283 + 294 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102832949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13803511 + ... + 13804097.

It is an arithmetic number, because the mean of its divisors is an integer number (90826400).

Almost surely, 2^8102832948 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 8102832948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079001600).

8102832948 is an abundant number, since it is smaller than the sum of its proper divisors (18055170252).

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

8102832948 is a wasteful number, since it uses less digits than its factorization.

8102832948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8102832948 is about 90015.7372241099. The cubic root of 8102832948 is about 2008.5329548990.

The spelling of 8102832948 in words is "eight billion, one hundred two million, eight hundred thirty-two thousand, nine hundred forty-eight".