4014728928 has 192 divisors, whose sum is σ = 13428011520. Its totient is φ = 1143161856.

The previous prime is 4014728923. The next prime is 4014728929. The reversal of 4014728928 is 8298274104.

It is a super-2 number, since 2×4014728928² = 32236096730640058368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014728923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097700 + ... + 2099612.

It is an arithmetic number, because the mean of its divisors is an integer number (69937560).

Almost surely, 2^4014728928 is an apocalyptic number.

4014728928 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 4014728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714005760).

4014728928 is an abundant number, since it is smaller than the sum of its proper divisors (9413282592).

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

4014728928 is a wasteful number, since it uses less digits than its factorization.

4014728928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4014728928 is about 63361.8886082162. Note that the first 3 decimals coincide. The cubic root of 4014728928 is about 1589.3470583536.

The spelling of 4014728928 in words is "four billion, fourteen million, seven hundred twenty-eight thousand, nine hundred twenty-eight".