4928411520 has 512 divisors, whose sum is σ = 19476288000. Its totient is φ = 1170505728.

The previous prime is 4928411489. The next prime is 4928411557. The reversal of 4928411520 is 251148294.

4928411520 is a `hidden beast` number, since 4 + 92 + 8 + 41 + 1 + 520 = 666.

It is a super-2 number, since 2×4928411520² = 48578480220937420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 5580999 + ... + 5581881.

It is an arithmetic number, because the mean of its divisors is an integer number (38039625).

Almost surely, 2^4928411520 is an apocalyptic number.

4928411520 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 4928411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738144000).

4928411520 is an abundant number, since it is smaller than the sum of its proper divisors (14547876480).

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

4928411520 is a wasteful number, since it uses less digits than its factorization.

4928411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4928411520 is about 70202.6461039753. The cubic root of 4928411520 is about 1701.7757131832.

The spelling of 4928411520 in words is "four billion, nine hundred twenty-eight million, four hundred eleven thousand, five hundred twenty".