4928351680 has 336 divisors, whose sum is σ = 14911888896. Its totient is φ = 1516584960.

The previous prime is 4928351633. The next prime is 4928351683. The reversal of 4928351680 is 861538294.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 4928351680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4928351683) by changing a digit.

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, 14889115 + ... + 14889445.

Almost surely, 2^4928351680 is an apocalyptic number.

4928351680 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 4928351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455944448).

4928351680 is an abundant number, since it is smaller than the sum of its proper divisors (9983537216).

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

4928351680 is a wasteful number, since it uses less digits than its factorization.

4928351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 4928351680 is about 70202.2199079203. The cubic root of 4928351680 is about 1701.7688255907.

It can be divided in two parts, 492835 and 1680, that added together give a triangular number (494515 = T₉₉₄).

The spelling of 4928351680 in words is "four billion, nine hundred twenty-eight million, three hundred fifty-one thousand, six hundred eighty".