4775819328 has 336 divisors, whose sum is σ = 17007677440. Its totient is φ = 1250380800.

The previous prime is 4775819287. The next prime is 4775819339. The reversal of 4775819328 is 8239185774.

It is a happy number.

4775819328 is a `hidden beast` number, since 477 + 5 + 81 + 93 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2373843 + ... + 2375853.

Almost surely, 2^4775819328 is an apocalyptic number.

4775819328 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 4775819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503838720).

4775819328 is an abundant number, since it is smaller than the sum of its proper divisors (12231858112).

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

4775819328 is a wasteful number, since it uses less digits than its factorization.

4775819328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2073 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 4775819328 is about 69107.3030004789. The cubic root of 4775819328 is about 1684.0279539408.

The spelling of 4775819328 in words is "four billion, seven hundred seventy-five million, eight hundred nineteen thousand, three hundred twenty-eight".