4829293872 has 400 divisors, whose sum is σ = 15836541952. Its totient is φ = 1410877440.

The previous prime is 4829293841. The next prime is 4829293873. The reversal of 4829293872 is 2783929284.

It is a happy number.

4829293872 is a `hidden beast` number, since 482 + 9 + 2 + 93 + 8 + 72 = 666.

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

Its product of digits (3483648) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (4829293873) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 38025873 + ... + 38025999.

Almost surely, 2^4829293872 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 4829293872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918270976).

4829293872 is an abundant number, since it is smaller than the sum of its proper divisors (11007248080).

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

4829293872 is a wasteful number, since it uses less digits than its factorization.

4829293872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4829293872 is about 69493.1210408627. The cubic root of 4829293872 is about 1690.2899578344.

The spelling of 4829293872 in words is "four billion, eight hundred twenty-nine million, two hundred ninety-three thousand, eight hundred seventy-two".