1540981728 has 576 divisors, whose sum is σ = 5706215424. Its totient is φ = 387072000.

The previous prime is 1540981703. The next prime is 1540981753. The reversal of 1540981728 is 8271890451.

1540981728 is a `hidden beast` number, since 1 + 540 + 9 + 81 + 7 + 28 = 666.

1540981728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1540981703) and next prime (1540981753).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21703933 + ... + 21704003.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2^1540981728 is an apocalyptic number.

1540981728 is a gapful number since it is divisible by the number (18) 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 1540981728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853107712).

1540981728 is an abundant number, since it is smaller than the sum of its proper divisors (4165233696).

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

1540981728 is a wasteful number, since it uses less digits than its factorization.

1540981728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1540981728 is about 39255.3401208039. The cubic root of 1540981728 is about 1155.0456877413.

The spelling of 1540981728 in words is "one billion, five hundred forty million, nine hundred eighty-one thousand, seven hundred twenty-eight".