4731290928 has 480 divisors, whose sum is σ = 17736642560. Its totient is φ = 1142138880.

The previous prime is 4731290917. The next prime is 4731290929. The reversal of 4731290928 is 8290921374.

4731290928 is a `hidden beast` number, since 473 + 1 + 2 + 90 + 92 + 8 = 666.

It is a super-2 number, since 2×4731290928² = 44770227690750202368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4731290929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7717950 + ... + 7718562.

Almost surely, 2^4731290928 is an apocalyptic number.

4731290928 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 4731290928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868321280).

4731290928 is an abundant number, since it is smaller than the sum of its proper divisors (13005351632).

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

4731290928 is a wasteful number, since it uses less digits than its factorization.

4731290928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4731290928 is about 68784.3799710370. The cubic root of 4731290928 is about 1678.7778015436. Note that the first 3 decimals are identical.

The spelling of 4731290928 in words is "four billion, seven hundred thirty-one million, two hundred ninety thousand, nine hundred twenty-eight".