4763132928 has 198 divisors, whose sum is σ = 14392133574. Its totient is φ = 1517125632.

The previous prime is 4763132897. The next prime is 4763132929. The reversal of 4763132928 is 8292313674.

4763132928 is a `hidden beast` number, since 4 + 7 + 631 + 3 + 2 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4685128704 + 78004224 = 68448^2 + 8832^2 .

It is not an unprimeable number, because it can be changed into a prime (4763132929) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4874776 + ... + 4875752.

Almost surely, 2^4763132928 is an apocalyptic number.

4763132928 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 4763132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196066787).

4763132928 is an abundant number, since it is smaller than the sum of its proper divisors (9629000646).

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

4763132928 is a wasteful number, since it uses less digits than its factorization.

4763132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1005 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4763132928 is about 69015.4542693157. The cubic root of 4763132928 is about 1682.5354911864.

The spelling of 4763132928 in words is "four billion, seven hundred sixty-three million, one hundred thirty-two thousand, nine hundred twenty-eight".