4920097728 has 224 divisors, whose sum is σ = 16866250240. Its totient is φ = 1229230080.

The previous prime is 4920097723. The next prime is 4920097759. The reversal of 4920097728 is 8277900294.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920097723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324558 + ... + 339378.

It is an arithmetic number, because the mean of its divisors is an integer number (75295760).

Almost surely, 2^4920097728 is an apocalyptic number.

4920097728 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 4920097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433125120).

4920097728 is an abundant number, since it is smaller than the sum of its proper divisors (11946152512).

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

4920097728 is a wasteful number, since it uses less digits than its factorization.

4920097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14875 (or 14865 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 4920097728 is about 70143.4083004241. The cubic root of 4920097728 is about 1700.8182598329.

The spelling of 4920097728 in words is "four billion, nine hundred twenty million, ninety-seven thousand, seven hundred twenty-eight".