4928461824 has 264 divisors, whose sum is σ = 15535452672. Its totient is φ = 1376993280.

The previous prime is 4928461817. The next prime is 4928461831. The reversal of 4928461824 is 4281648294.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4928461817) and next prime (4928461831).

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5710417 + ... + 5711279.

Almost surely, 2^4928461824 is an apocalyptic number.

4928461824 is a gapful number since it is divisible by the number (44) 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 4928461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767726336).

4928461824 is an abundant number, since it is smaller than the sum of its proper divisors (10606990848).

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

4928461824 is a wasteful number, since it uses less digits than its factorization.

4928461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 892 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 4928461824 is about 70203.0043801546. The cubic root of 4928461824 is about 1701.7815031377.

The spelling of 4928461824 in words is "four billion, nine hundred twenty-eight million, four hundred sixty-one thousand, eight hundred twenty-four".