4834297728 has 480 divisors, whose sum is σ = 16261819200. Its totient is φ = 1423319040.

The previous prime is 4834297717. The next prime is 4834297751. The reversal of 4834297728 is 8277924384.

It is a happy number.

4834297728 is a `hidden beast` number, since 483 + 4 + 2 + 97 + 72 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54317908 + ... + 54317996.

It is an arithmetic number, because the mean of its divisors is an integer number (33878790).

Almost surely, 2^4834297728 is an apocalyptic number.

4834297728 is a gapful number since it is divisible by the number (48) 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 4834297728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8130909600).

4834297728 is an abundant number, since it is smaller than the sum of its proper divisors (11427521472).

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

4834297728 is a wasteful number, since it uses less digits than its factorization.

4834297728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4834297728 is about 69529.1142471986. The cubic root of 4834297728 is about 1690.8735523323.

It can be divided in two parts, 48342 and 97728, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 4834297728 in words is "four billion, eight hundred thirty-four million, two hundred ninety-seven thousand, seven hundred twenty-eight".