5267832948 has 192 divisors, whose sum is σ = 16229875200. Its totient is φ = 1445713920.

The previous prime is 5267832917. The next prime is 5267833009. The reversal of 5267832948 is 8492387625.

5267832948 is a `hidden beast` number, since 526 + 78 + 3 + 2 + 9 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5267832894 and 5267832903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5283186 + ... + 5284182.

It is an arithmetic number, because the mean of its divisors is an integer number (84530600).

Almost surely, 2^5267832948 is an apocalyptic number.

5267832948 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5267832948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114937600).

5267832948 is an abundant number, since it is smaller than the sum of its proper divisors (10962042252).

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

5267832948 is a wasteful number, since it uses less digits than its factorization.

5267832948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5267832948 is about 72579.8384401619. The cubic root of 5267832948 is about 1739.9789652630.

The spelling of 5267832948 in words is "five billion, two hundred sixty-seven million, eight hundred thirty-two thousand, nine hundred forty-eight".