4928434560 has 384 divisors, whose sum is σ = 20082216960. Its totient is φ = 1089884160.

The previous prime is 4928434547. The next prime is 4928434579. The reversal of 4928434560 is 654348294.

4928434560 is a `hidden beast` number, since 4 + 9 + 2 + 84 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1247949 + ... + 1251891.

It is an arithmetic number, because the mean of its divisors is an integer number (52297440).

Almost surely, 2^4928434560 is an apocalyptic number.

4928434560 is a gapful number since it is divisible by the number (40) 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 4928434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041108480).

4928434560 is an abundant number, since it is smaller than the sum of its proper divisors (15153782400).

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

4928434560 is a wasteful number, since it uses less digits than its factorization.

4928434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4928434560 is about 70202.8102001622. The cubic root of 4928434560 is about 1701.7783650756.

The spelling of 4928434560 in words is "four billion, nine hundred twenty-eight million, four hundred thirty-four thousand, five hundred sixty".