4540393728 has 432 divisors, whose sum is σ = 15394435056. Its totient is φ = 1274019840.

The previous prime is 4540393699. The next prime is 4540393733. The reversal of 4540393728 is 8273930454.

4540393728 is a `hidden beast` number, since 4 + 540 + 39 + 3 + 72 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 427993344 + 4112400384 = 20688^2 + 64128^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18839688 + ... + 18839928.

Almost surely, 2^4540393728 is an apocalyptic number.

4540393728 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 4540393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697217528).

4540393728 is an abundant number, since it is smaller than the sum of its proper divisors (10854041328).

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

4540393728 is a wasteful number, since it uses less digits than its factorization.

4540393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4540393728 is about 67382.4437669042. The cubic root of 4540393728 is about 1655.8888114102. Note that the first 4 decimals are identical.

The spelling of 4540393728 in words is "four billion, five hundred forty million, three hundred ninety-three thousand, seven hundred twenty-eight".